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Finding the Fourth Proportional to 2,660.67, 3,991.02 and 929.31

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Solution

The fourth proportional to 2,660.67, 3,991.02 and 929.31 is: 1,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.67 : 3,991.02 = 929.31 : x
  2. Step 2: Convert to fraction form
    2,660.67/3,991.02 = 929.31/x
  3. Step 3: Cross multiply
    2,660.67x = 3,991.02 × 929.31
  4. Step 4: Simplify right side
    2,660.67x = 3,708,894.80
  5. Step 5: Solve for x
    x = 3,708,894.80/2,660.67
  6. Step 6: Final answer
    x = 1,393.97

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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.