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Finding the Fourth Proportional to 2,151.81, 3,226.23 and 691.38

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Solution

The fourth proportional to 2,151.81, 3,226.23 and 691.38 is: 1,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.81 : 3,226.23 = 691.38 : x
  2. Step 2: Convert to fraction form
    2,151.81/3,226.23 = 691.38/x
  3. Step 3: Cross multiply
    2,151.81x = 3,226.23 × 691.38
  4. Step 4: Simplify right side
    2,151.81x = 2,230,550.90
  5. Step 5: Solve for x
    x = 2,230,550.90/2,151.81
  6. Step 6: Final answer
    x = 1,036.59

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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.