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Finding the Fourth Proportional to 2,264.76, 3,397.24 and 878.14

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Solution

The fourth proportional to 2,264.76, 3,397.24 and 878.14 is: 1,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.76 : 3,397.24 = 878.14 : x
  2. Step 2: Convert to fraction form
    2,264.76/3,397.24 = 878.14/x
  3. Step 3: Cross multiply
    2,264.76x = 3,397.24 × 878.14
  4. Step 4: Simplify right side
    2,264.76x = 2,983,257.68
  5. Step 5: Solve for x
    x = 2,983,257.68/2,264.76
  6. Step 6: Final answer
    x = 1,317.25

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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.