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Finding the Fourth Proportional to 2,520.77, 3,781.58 and 878.31

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Solution

The fourth proportional to 2,520.77, 3,781.58 and 878.31 is: 1,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.77 : 3,781.58 = 878.31 : x
  2. Step 2: Convert to fraction form
    2,520.77/3,781.58 = 878.31/x
  3. Step 3: Cross multiply
    2,520.77x = 3,781.58 × 878.31
  4. Step 4: Simplify right side
    2,520.77x = 3,321,395.14
  5. Step 5: Solve for x
    x = 3,321,395.14/2,520.77
  6. Step 6: Final answer
    x = 1,317.61

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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.