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Finding the Fourth Proportional to 1,612.68, 2,224.82 and 1,087.80

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Solution

The fourth proportional to 1,612.68, 2,224.82 and 1,087.80 is: 1,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.68 : 2,224.82 = 1,087.80 : x
  2. Step 2: Convert to fraction form
    1,612.68/2,224.82 = 1,087.80/x
  3. Step 3: Cross multiply
    1,612.68x = 2,224.82 × 1,087.80
  4. Step 4: Simplify right side
    1,612.68x = 2,420,159.20
  5. Step 5: Solve for x
    x = 2,420,159.20/1,612.68
  6. Step 6: Final answer
    x = 1,500.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.