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Finding the Fourth Proportional to 2,151.52, 3,227.28 and 918.70

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Solution

The fourth proportional to 2,151.52, 3,227.28 and 918.70 is: 1,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.52 : 3,227.28 = 918.70 : x
  2. Step 2: Convert to fraction form
    2,151.52/3,227.28 = 918.70/x
  3. Step 3: Cross multiply
    2,151.52x = 3,227.28 × 918.70
  4. Step 4: Simplify right side
    2,151.52x = 2,964,902.14
  5. Step 5: Solve for x
    x = 2,964,902.14/2,151.52
  6. Step 6: Final answer
    x = 1,378.05

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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.