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Finding the Fourth Proportional to 2,587.65, 3,569.14 and 1,593.47

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Solution

The fourth proportional to 2,587.65, 3,569.14 and 1,593.47 is: 2,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.65 : 3,569.14 = 1,593.47 : x
  2. Step 2: Convert to fraction form
    2,587.65/3,569.14 = 1,593.47/x
  3. Step 3: Cross multiply
    2,587.65x = 3,569.14 × 1,593.47
  4. Step 4: Simplify right side
    2,587.65x = 5,687,323.95
  5. Step 5: Solve for x
    x = 5,687,323.95/2,587.65
  6. Step 6: Final answer
    x = 2,197.88

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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.