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Finding the Fourth Proportional to 2,013.53, 2,766.89 and 1,639.71

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Solution

The fourth proportional to 2,013.53, 2,766.89 and 1,639.71 is: 2,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.53 : 2,766.89 = 1,639.71 : x
  2. Step 2: Convert to fraction form
    2,013.53/2,766.89 = 1,639.71/x
  3. Step 3: Cross multiply
    2,013.53x = 2,766.89 × 1,639.71
  4. Step 4: Simplify right side
    2,013.53x = 4,536,901.30
  5. Step 5: Solve for x
    x = 4,536,901.30/2,013.53
  6. Step 6: Final answer
    x = 2,253.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.