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Finding the Fourth Proportional to 3,477.14, 4,798.42 and 1,905.24

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Solution

The fourth proportional to 3,477.14, 4,798.42 and 1,905.24 is: 2,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.14 : 4,798.42 = 1,905.24 : x
  2. Step 2: Convert to fraction form
    3,477.14/4,798.42 = 1,905.24/x
  3. Step 3: Cross multiply
    3,477.14x = 4,798.42 × 1,905.24
  4. Step 4: Simplify right side
    3,477.14x = 9,142,141.72
  5. Step 5: Solve for x
    x = 9,142,141.72/3,477.14
  6. Step 6: Final answer
    x = 2,629.21

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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.