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Finding the Fourth Proportional to 2,575.69, 3,860.62 and 1,687.91

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Solution

The fourth proportional to 2,575.69, 3,860.62 and 1,687.91 is: 2,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.69 : 3,860.62 = 1,687.91 : x
  2. Step 2: Convert to fraction form
    2,575.69/3,860.62 = 1,687.91/x
  3. Step 3: Cross multiply
    2,575.69x = 3,860.62 × 1,687.91
  4. Step 4: Simplify right side
    2,575.69x = 6,516,355.58
  5. Step 5: Solve for x
    x = 6,516,355.58/2,575.69
  6. Step 6: Final answer
    x = 2,529.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.