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Finding the Fourth Proportional to 2,087.45, 3,132.25 and 918.27

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Solution

The fourth proportional to 2,087.45, 3,132.25 and 918.27 is: 1,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.45 : 3,132.25 = 918.27 : x
  2. Step 2: Convert to fraction form
    2,087.45/3,132.25 = 918.27/x
  3. Step 3: Cross multiply
    2,087.45x = 3,132.25 × 918.27
  4. Step 4: Simplify right side
    2,087.45x = 2,876,254.08
  5. Step 5: Solve for x
    x = 2,876,254.08/2,087.45
  6. Step 6: Final answer
    x = 1,377.88

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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.