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Finding the Fourth Proportional to 2,102.59, 3,153.61 and 1,520.38

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Solution

The fourth proportional to 2,102.59, 3,153.61 and 1,520.38 is: 2,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.59 : 3,153.61 = 1,520.38 : x
  2. Step 2: Convert to fraction form
    2,102.59/3,153.61 = 1,520.38/x
  3. Step 3: Cross multiply
    2,102.59x = 3,153.61 × 1,520.38
  4. Step 4: Simplify right side
    2,102.59x = 4,794,685.57
  5. Step 5: Solve for x
    x = 4,794,685.57/2,102.59
  6. Step 6: Final answer
    x = 2,280.37

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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.