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Finding the Fourth Proportional to 2,231.01, 3,345.57 and 769.95

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Solution

The fourth proportional to 2,231.01, 3,345.57 and 769.95 is: 1,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.01 : 3,345.57 = 769.95 : x
  2. Step 2: Convert to fraction form
    2,231.01/3,345.57 = 769.95/x
  3. Step 3: Cross multiply
    2,231.01x = 3,345.57 × 769.95
  4. Step 4: Simplify right side
    2,231.01x = 2,575,921.62
  5. Step 5: Solve for x
    x = 2,575,921.62/2,231.01
  6. Step 6: Final answer
    x = 1,154.60

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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.