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Finding the Fourth Proportional to 2,574.90, 3,861.92 and 932.22

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Solution

The fourth proportional to 2,574.90, 3,861.92 and 932.22 is: 1,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.90 : 3,861.92 = 932.22 : x
  2. Step 2: Convert to fraction form
    2,574.90/3,861.92 = 932.22/x
  3. Step 3: Cross multiply
    2,574.90x = 3,861.92 × 932.22
  4. Step 4: Simplify right side
    2,574.90x = 3,600,159.06
  5. Step 5: Solve for x
    x = 3,600,159.06/2,574.90
  6. Step 6: Final answer
    x = 1,398.17

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