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Finding the Fourth Proportional to 3,477.54, 4,798.05 and 1,984.92

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Solution

The fourth proportional to 3,477.54, 4,798.05 and 1,984.92 is: 2,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.54 : 4,798.05 = 1,984.92 : x
  2. Step 2: Convert to fraction form
    3,477.54/4,798.05 = 1,984.92/x
  3. Step 3: Cross multiply
    3,477.54x = 4,798.05 × 1,984.92
  4. Step 4: Simplify right side
    3,477.54x = 9,523,745.41
  5. Step 5: Solve for x
    x = 9,523,745.41/3,477.54
  6. Step 6: Final answer
    x = 2,738.64

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Half scale
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Double scale
Find fourth proportional to 3,478.54, 4,799.43 and 1,985.92
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.