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Finding the Fourth Proportional to 2,521.52, 3,782.69 and 878.54

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Solution

The fourth proportional to 2,521.52, 3,782.69 and 878.54 is: 1,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.52 : 3,782.69 = 878.54 : x
  2. Step 2: Convert to fraction form
    2,521.52/3,782.69 = 878.54/x
  3. Step 3: Cross multiply
    2,521.52x = 3,782.69 × 878.54
  4. Step 4: Simplify right side
    2,521.52x = 3,323,240.08
  5. Step 5: Solve for x
    x = 3,323,240.08/2,521.52
  6. Step 6: Final answer
    x = 1,317.95

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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.