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Finding the Fourth Proportional to 2,318.97, 3,478.29 and 932.92

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Solution

The fourth proportional to 2,318.97, 3,478.29 and 932.92 is: 1,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.97 : 3,478.29 = 932.92 : x
  2. Step 2: Convert to fraction form
    2,318.97/3,478.29 = 932.92/x
  3. Step 3: Cross multiply
    2,318.97x = 3,478.29 × 932.92
  4. Step 4: Simplify right side
    2,318.97x = 3,244,966.31
  5. Step 5: Solve for x
    x = 3,244,966.31/2,318.97
  6. Step 6: Final answer
    x = 1,399.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.