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Finding the Fourth Proportional to 1,520.36, 2,280.43 and 872.56

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Solution

The fourth proportional to 1,520.36, 2,280.43 and 872.56 is: 1,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.36 : 2,280.43 = 872.56 : x
  2. Step 2: Convert to fraction form
    1,520.36/2,280.43 = 872.56/x
  3. Step 3: Cross multiply
    1,520.36x = 2,280.43 × 872.56
  4. Step 4: Simplify right side
    1,520.36x = 1,989,812.00
  5. Step 5: Solve for x
    x = 1,989,812.00/1,520.36
  6. Step 6: Final answer
    x = 1,308.78

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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.