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Finding the Fourth Proportional to 2,521.27, 3,782.31 and 878.05

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Solution

The fourth proportional to 2,521.27, 3,782.31 and 878.05 is: 1,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.27 : 3,782.31 = 878.05 : x
  2. Step 2: Convert to fraction form
    2,521.27/3,782.31 = 878.05/x
  3. Step 3: Cross multiply
    2,521.27x = 3,782.31 × 878.05
  4. Step 4: Simplify right side
    2,521.27x = 3,321,057.30
  5. Step 5: Solve for x
    x = 3,321,057.30/2,521.27
  6. Step 6: Final answer
    x = 1,317.22

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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.