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Finding the Fourth Proportional to 2,231.07, 3,347.46 and 769.38

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Solution

The fourth proportional to 2,231.07, 3,347.46 and 769.38 is: 1,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.07 : 3,347.46 = 769.38 : x
  2. Step 2: Convert to fraction form
    2,231.07/3,347.46 = 769.38/x
  3. Step 3: Cross multiply
    2,231.07x = 3,347.46 × 769.38
  4. Step 4: Simplify right side
    2,231.07x = 2,575,468.77
  5. Step 5: Solve for x
    x = 2,575,468.77/2,231.07
  6. Step 6: Final answer
    x = 1,154.36

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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.