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Finding the Fourth Proportional to 2,560.62, 3,539.94 and 2,537.22

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Solution

The fourth proportional to 2,560.62, 3,539.94 and 2,537.22 is: 3,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.62 : 3,539.94 = 2,537.22 : x
  2. Step 2: Convert to fraction form
    2,560.62/3,539.94 = 2,537.22/x
  3. Step 3: Cross multiply
    2,560.62x = 3,539.94 × 2,537.22
  4. Step 4: Simplify right side
    2,560.62x = 8,981,606.57
  5. Step 5: Solve for x
    x = 8,981,606.57/2,560.62
  6. Step 6: Final answer
    x = 3,507.59

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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.