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Finding the Fourth Proportional to 1,431.78, 1,976.99 and 1,151.11

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Solution

The fourth proportional to 1,431.78, 1,976.99 and 1,151.11 is: 1,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.78 : 1,976.99 = 1,151.11 : x
  2. Step 2: Convert to fraction form
    1,431.78/1,976.99 = 1,151.11/x
  3. Step 3: Cross multiply
    1,431.78x = 1,976.99 × 1,151.11
  4. Step 4: Simplify right side
    1,431.78x = 2,275,732.96
  5. Step 5: Solve for x
    x = 2,275,732.96/1,431.78
  6. Step 6: Final answer
    x = 1,589.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.