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Finding the Fourth Proportional to 2,542.32, 3,508.02 and 1,423.14

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Solution

The fourth proportional to 2,542.32, 3,508.02 and 1,423.14 is: 1,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.32 : 3,508.02 = 1,423.14 : x
  2. Step 2: Convert to fraction form
    2,542.32/3,508.02 = 1,423.14/x
  3. Step 3: Cross multiply
    2,542.32x = 3,508.02 × 1,423.14
  4. Step 4: Simplify right side
    2,542.32x = 4,992,403.58
  5. Step 5: Solve for x
    x = 4,992,403.58/2,542.32
  6. Step 6: Final answer
    x = 1,963.72

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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.