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Finding the Fourth Proportional to 2,587.70, 3,569.12 and 1,642.68

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Solution

The fourth proportional to 2,587.70, 3,569.12 and 1,642.68 is: 2,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.70 : 3,569.12 = 1,642.68 : x
  2. Step 2: Convert to fraction form
    2,587.70/3,569.12 = 1,642.68/x
  3. Step 3: Cross multiply
    2,587.70x = 3,569.12 × 1,642.68
  4. Step 4: Simplify right side
    2,587.70x = 5,862,922.04
  5. Step 5: Solve for x
    x = 5,862,922.04/2,587.70
  6. Step 6: Final answer
    x = 2,265.69

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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.