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Finding the Fourth Proportional to 2,578.88, 3,862.14 and 1,479.92

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Solution

The fourth proportional to 2,578.88, 3,862.14 and 1,479.92 is: 2,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.88 : 3,862.14 = 1,479.92 : x
  2. Step 2: Convert to fraction form
    2,578.88/3,862.14 = 1,479.92/x
  3. Step 3: Cross multiply
    2,578.88x = 3,862.14 × 1,479.92
  4. Step 4: Simplify right side
    2,578.88x = 5,715,658.23
  5. Step 5: Solve for x
    x = 5,715,658.23/2,578.88
  6. Step 6: Final answer
    x = 2,216.33

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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.