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Finding the Fourth Proportional to 2,315.71, 3,474.17 and 929.10

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Solution

The fourth proportional to 2,315.71, 3,474.17 and 929.10 is: 1,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.71 : 3,474.17 = 929.10 : x
  2. Step 2: Convert to fraction form
    2,315.71/3,474.17 = 929.10/x
  3. Step 3: Cross multiply
    2,315.71x = 3,474.17 × 929.10
  4. Step 4: Simplify right side
    2,315.71x = 3,227,829.33
  5. Step 5: Solve for x
    x = 3,227,829.33/2,315.71
  6. Step 6: Final answer
    x = 1,393.88

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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.