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Finding the Fourth Proportional to 2,149.65, 3,225.15 and 1,687.64

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Solution

The fourth proportional to 2,149.65, 3,225.15 and 1,687.64 is: 2,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.65 : 3,225.15 = 1,687.64 : x
  2. Step 2: Convert to fraction form
    2,149.65/3,225.15 = 1,687.64/x
  3. Step 3: Cross multiply
    2,149.65x = 3,225.15 × 1,687.64
  4. Step 4: Simplify right side
    2,149.65x = 5,442,876.02
  5. Step 5: Solve for x
    x = 5,442,876.02/2,149.65
  6. Step 6: Final answer
    x = 2,531.98

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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.