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Finding the Fourth Proportional to 2,587.62, 3,568.98 and 1,642.59

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Solution

The fourth proportional to 2,587.62, 3,568.98 and 1,642.59 is: 2,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.62 : 3,568.98 = 1,642.59 : x
  2. Step 2: Convert to fraction form
    2,587.62/3,568.98 = 1,642.59/x
  3. Step 3: Cross multiply
    2,587.62x = 3,568.98 × 1,642.59
  4. Step 4: Simplify right side
    2,587.62x = 5,862,363.63
  5. Step 5: Solve for x
    x = 5,862,363.63/2,587.62
  6. Step 6: Final answer
    x = 2,265.55

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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.