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Finding the Fourth Proportional to 2,151.47, 3,227.27 and 690.42

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Solution

The fourth proportional to 2,151.47, 3,227.27 and 690.42 is: 1,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.47 : 3,227.27 = 690.42 : x
  2. Step 2: Convert to fraction form
    2,151.47/3,227.27 = 690.42/x
  3. Step 3: Cross multiply
    2,151.47x = 3,227.27 × 690.42
  4. Step 4: Simplify right side
    2,151.47x = 2,228,168.30
  5. Step 5: Solve for x
    x = 2,228,168.30/2,151.47
  6. Step 6: Final answer
    x = 1,035.65

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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.