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Finding the Fourth Proportional to 2,566.92, 3,542.31 and 1,447.95

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Solution

The fourth proportional to 2,566.92, 3,542.31 and 1,447.95 is: 1,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.92 : 3,542.31 = 1,447.95 : x
  2. Step 2: Convert to fraction form
    2,566.92/3,542.31 = 1,447.95/x
  3. Step 3: Cross multiply
    2,566.92x = 3,542.31 × 1,447.95
  4. Step 4: Simplify right side
    2,566.92x = 5,129,087.76
  5. Step 5: Solve for x
    x = 5,129,087.76/2,566.92
  6. Step 6: Final answer
    x = 1,998.15

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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.