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Finding the Fourth Proportional to 1,622.29, 2,428.14 and 880.78

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Solution

The fourth proportional to 1,622.29, 2,428.14 and 880.78 is: 1,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.29 : 2,428.14 = 880.78 : x
  2. Step 2: Convert to fraction form
    1,622.29/2,428.14 = 880.78/x
  3. Step 3: Cross multiply
    1,622.29x = 2,428.14 × 880.78
  4. Step 4: Simplify right side
    1,622.29x = 2,138,657.15
  5. Step 5: Solve for x
    x = 2,138,657.15/1,622.29
  6. Step 6: Final answer
    x = 1,318.30

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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.