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Finding the Fourth Proportional to 2,152.05, 3,227.85 and 691.17

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Solution

The fourth proportional to 2,152.05, 3,227.85 and 691.17 is: 1,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.05 : 3,227.85 = 691.17 : x
  2. Step 2: Convert to fraction form
    2,152.05/3,227.85 = 691.17/x
  3. Step 3: Cross multiply
    2,152.05x = 3,227.85 × 691.17
  4. Step 4: Simplify right side
    2,152.05x = 2,230,993.08
  5. Step 5: Solve for x
    x = 2,230,993.08/2,152.05
  6. Step 6: Final answer
    x = 1,036.68

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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.