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Finding the Fourth Proportional to 1,614.65, 2,414.66 and 1,244.39

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Solution

The fourth proportional to 1,614.65, 2,414.66 and 1,244.39 is: 1,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.65 : 2,414.66 = 1,244.39 : x
  2. Step 2: Convert to fraction form
    1,614.65/2,414.66 = 1,244.39/x
  3. Step 3: Cross multiply
    1,614.65x = 2,414.66 × 1,244.39
  4. Step 4: Simplify right side
    1,614.65x = 3,004,760.46
  5. Step 5: Solve for x
    x = 3,004,760.46/1,614.65
  6. Step 6: Final answer
    x = 1,860.94

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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.