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Finding the Fourth Proportional to 3,477.14, 4,798.54 and 1,985.03

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Solution

The fourth proportional to 3,477.14, 4,798.54 and 1,985.03 is: 2,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.14 : 4,798.54 = 1,985.03 : x
  2. Step 2: Convert to fraction form
    3,477.14/4,798.54 = 1,985.03/x
  3. Step 3: Cross multiply
    3,477.14x = 4,798.54 × 1,985.03
  4. Step 4: Simplify right side
    3,477.14x = 9,525,235.93
  5. Step 5: Solve for x
    x = 9,525,235.93/3,477.14
  6. Step 6: Final answer
    x = 2,739.39

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Half scale
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Double scale
Find fourth proportional to 3,478.14, 4,799.92 and 1,986.03
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.