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Finding the Fourth Proportional to 2,663.42, 3,995.85 and 932.18

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Solution

The fourth proportional to 2,663.42, 3,995.85 and 932.18 is: 1,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.42 : 3,995.85 = 932.18 : x
  2. Step 2: Convert to fraction form
    2,663.42/3,995.85 = 932.18/x
  3. Step 3: Cross multiply
    2,663.42x = 3,995.85 × 932.18
  4. Step 4: Simplify right side
    2,663.42x = 3,724,851.45
  5. Step 5: Solve for x
    x = 3,724,851.45/2,663.42
  6. Step 6: Final answer
    x = 1,398.52

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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.