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Finding the Fourth Proportional to 1,913.43, 2,869.53 and 614.60

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Solution

The fourth proportional to 1,913.43, 2,869.53 and 614.60 is: 921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.43 : 2,869.53 = 614.60 : x
  2. Step 2: Convert to fraction form
    1,913.43/2,869.53 = 614.60/x
  3. Step 3: Cross multiply
    1,913.43x = 2,869.53 × 614.60
  4. Step 4: Simplify right side
    1,913.43x = 1,763,613.14
  5. Step 5: Solve for x
    x = 1,763,613.14/1,913.43
  6. Step 6: Final answer
    x = 921.70

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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.