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Finding the Fourth Proportional to 1,431.44, 2,150.76 and 911.66

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Solution

The fourth proportional to 1,431.44, 2,150.76 and 911.66 is: 1,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.44 : 2,150.76 = 911.66 : x
  2. Step 2: Convert to fraction form
    1,431.44/2,150.76 = 911.66/x
  3. Step 3: Cross multiply
    1,431.44x = 2,150.76 × 911.66
  4. Step 4: Simplify right side
    1,431.44x = 1,960,761.86
  5. Step 5: Solve for x
    x = 1,960,761.86/1,431.44
  6. Step 6: Final answer
    x = 1,369.78

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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.