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Finding the Fourth Proportional to 2,472.42, 3,708.45 and 932.34

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Solution

The fourth proportional to 2,472.42, 3,708.45 and 932.34 is: 1,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.42 : 3,708.45 = 932.34 : x
  2. Step 2: Convert to fraction form
    2,472.42/3,708.45 = 932.34/x
  3. Step 3: Cross multiply
    2,472.42x = 3,708.45 × 932.34
  4. Step 4: Simplify right side
    2,472.42x = 3,457,536.27
  5. Step 5: Solve for x
    x = 3,457,536.27/2,472.42
  6. Step 6: Final answer
    x = 1,398.44

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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.