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Finding the Fourth Proportional to 2,659.89, 3,644.08 and 2,560.15

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Solution

The fourth proportional to 2,659.89, 3,644.08 and 2,560.15 is: 3,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.89 : 3,644.08 = 2,560.15 : x
  2. Step 2: Convert to fraction form
    2,659.89/3,644.08 = 2,560.15/x
  3. Step 3: Cross multiply
    2,659.89x = 3,644.08 × 2,560.15
  4. Step 4: Simplify right side
    2,659.89x = 9,329,391.41
  5. Step 5: Solve for x
    x = 9,329,391.41/2,659.89
  6. Step 6: Final answer
    x = 3,507.44

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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.