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Finding the Fourth Proportional to 2,232.74, 3,349.11 and 771.91

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Solution

The fourth proportional to 2,232.74, 3,349.11 and 771.91 is: 1,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.74 : 3,349.11 = 771.91 : x
  2. Step 2: Convert to fraction form
    2,232.74/3,349.11 = 771.91/x
  3. Step 3: Cross multiply
    2,232.74x = 3,349.11 × 771.91
  4. Step 4: Simplify right side
    2,232.74x = 2,585,206.02
  5. Step 5: Solve for x
    x = 2,585,206.02/2,232.74
  6. Step 6: Final answer
    x = 1,157.86

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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.