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Finding the Fourth Proportional to 2,471.52, 3,400.56 and 2,402.52

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Solution

The fourth proportional to 2,471.52, 3,400.56 and 2,402.52 is: 3,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.52 : 3,400.56 = 2,402.52 : x
  2. Step 2: Convert to fraction form
    2,471.52/3,400.56 = 2,402.52/x
  3. Step 3: Cross multiply
    2,471.52x = 3,400.56 × 2,402.52
  4. Step 4: Simplify right side
    2,471.52x = 8,169,913.41
  5. Step 5: Solve for x
    x = 8,169,913.41/2,471.52
  6. Step 6: Final answer
    x = 3,305.62

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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.