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Finding the Fourth Proportional to 2,511.52, 3,464.61 and 1,627.61

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Solution

The fourth proportional to 2,511.52, 3,464.61 and 1,627.61 is: 2,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.52 : 3,464.61 = 1,627.61 : x
  2. Step 2: Convert to fraction form
    2,511.52/3,464.61 = 1,627.61/x
  3. Step 3: Cross multiply
    2,511.52x = 3,464.61 × 1,627.61
  4. Step 4: Simplify right side
    2,511.52x = 5,639,010.46
  5. Step 5: Solve for x
    x = 5,639,010.46/2,511.52
  6. Step 6: Final answer
    x = 2,245.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.