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Finding the Fourth Proportional to 1,912.96, 2,869.16 and 614.26

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Solution

The fourth proportional to 1,912.96, 2,869.16 and 614.26 is: 921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.96 : 2,869.16 = 614.26 : x
  2. Step 2: Convert to fraction form
    1,912.96/2,869.16 = 614.26/x
  3. Step 3: Cross multiply
    1,912.96x = 2,869.16 × 614.26
  4. Step 4: Simplify right side
    1,912.96x = 1,762,395.88
  5. Step 5: Solve for x
    x = 1,762,395.88/1,912.96
  6. Step 6: Final answer
    x = 921.29

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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.