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Finding the Fourth Proportional to 1,912.67, 2,869.10 and 614.15

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Solution

The fourth proportional to 1,912.67, 2,869.10 and 614.15 is: 921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.67 : 2,869.10 = 614.15 : x
  2. Step 2: Convert to fraction form
    1,912.67/2,869.10 = 614.15/x
  3. Step 3: Cross multiply
    1,912.67x = 2,869.10 × 614.15
  4. Step 4: Simplify right side
    1,912.67x = 1,762,040.35
  5. Step 5: Solve for x
    x = 1,762,040.35/1,912.67
  6. Step 6: Final answer
    x = 921.25

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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.