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Finding the Fourth Proportional to 1,912.66, 2,869.26 and 614.14

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Solution

The fourth proportional to 1,912.66, 2,869.26 and 614.14 is: 921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.66 : 2,869.26 = 614.14 : x
  2. Step 2: Convert to fraction form
    1,912.66/2,869.26 = 614.14/x
  3. Step 3: Cross multiply
    1,912.66x = 2,869.26 × 614.14
  4. Step 4: Simplify right side
    1,912.66x = 1,762,127.34
  5. Step 5: Solve for x
    x = 1,762,127.34/1,912.66
  6. Step 6: Final answer
    x = 921.30

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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.