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Finding the Fourth Proportional to 1,522.68, 2,280.38 and 1,358.66

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Solution

The fourth proportional to 1,522.68, 2,280.38 and 1,358.66 is: 2,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.68 : 2,280.38 = 1,358.66 : x
  2. Step 2: Convert to fraction form
    1,522.68/2,280.38 = 1,358.66/x
  3. Step 3: Cross multiply
    1,522.68x = 2,280.38 × 1,358.66
  4. Step 4: Simplify right side
    1,522.68x = 3,098,242.90
  5. Step 5: Solve for x
    x = 3,098,242.90/1,522.68
  6. Step 6: Final answer
    x = 2,034.73

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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.