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Finding the Fourth Proportional to 2,677.72, 3,687.60 and 2,511.04

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Solution

The fourth proportional to 2,677.72, 3,687.60 and 2,511.04 is: 3,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.72 : 3,687.60 = 2,511.04 : x
  2. Step 2: Convert to fraction form
    2,677.72/3,687.60 = 2,511.04/x
  3. Step 3: Cross multiply
    2,677.72x = 3,687.60 × 2,511.04
  4. Step 4: Simplify right side
    2,677.72x = 9,259,711.10
  5. Step 5: Solve for x
    x = 9,259,711.10/2,677.72
  6. Step 6: Final answer
    x = 3,458.06

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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.