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Finding the Fourth Proportional to 2,578.91, 3,862.59 and 1,758.77

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Solution

The fourth proportional to 2,578.91, 3,862.59 and 1,758.77 is: 2,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.91 : 3,862.59 = 1,758.77 : x
  2. Step 2: Convert to fraction form
    2,578.91/3,862.59 = 1,758.77/x
  3. Step 3: Cross multiply
    2,578.91x = 3,862.59 × 1,758.77
  4. Step 4: Simplify right side
    2,578.91x = 6,793,407.41
  5. Step 5: Solve for x
    x = 6,793,407.41/2,578.91
  6. Step 6: Final answer
    x = 2,634.22

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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.