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Finding the Fourth Proportional to 2,542.76, 3,508.02 and 1,598

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Solution

The fourth proportional to 2,542.76, 3,508.02 and 1,598 is: 2,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.76 : 3,508.02 = 1,598 : x
  2. Step 2: Convert to fraction form
    2,542.76/3,508.02 = 1,598/x
  3. Step 3: Cross multiply
    2,542.76x = 3,508.02 × 1,598
  4. Step 4: Simplify right side
    2,542.76x = 5,605,815.96
  5. Step 5: Solve for x
    x = 5,605,815.96/2,542.76
  6. Step 6: Final answer
    x = 2,204.62

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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.