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Finding the Fourth Proportional to 2,308.62, 3,462.69 and 769.74

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Solution

The fourth proportional to 2,308.62, 3,462.69 and 769.74 is: 1,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.62 : 3,462.69 = 769.74 : x
  2. Step 2: Convert to fraction form
    2,308.62/3,462.69 = 769.74/x
  3. Step 3: Cross multiply
    2,308.62x = 3,462.69 × 769.74
  4. Step 4: Simplify right side
    2,308.62x = 2,665,371.00
  5. Step 5: Solve for x
    x = 2,665,371.00/2,308.62
  6. Step 6: Final answer
    x = 1,154.53

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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.