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Finding the Fourth Proportional to 2,663.14, 3,996.51 and 931.78

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Solution

The fourth proportional to 2,663.14, 3,996.51 and 931.78 is: 1,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.14 : 3,996.51 = 931.78 : x
  2. Step 2: Convert to fraction form
    2,663.14/3,996.51 = 931.78/x
  3. Step 3: Cross multiply
    2,663.14x = 3,996.51 × 931.78
  4. Step 4: Simplify right side
    2,663.14x = 3,723,868.09
  5. Step 5: Solve for x
    x = 3,723,868.09/2,663.14
  6. Step 6: Final answer
    x = 1,398.30

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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.