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Finding the Fourth Proportional to 1,642.57, 2,262.89 and 1,144.31

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Solution

The fourth proportional to 1,642.57, 2,262.89 and 1,144.31 is: 1,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.57 : 2,262.89 = 1,144.31 : x
  2. Step 2: Convert to fraction form
    1,642.57/2,262.89 = 1,144.31/x
  3. Step 3: Cross multiply
    1,642.57x = 2,262.89 × 1,144.31
  4. Step 4: Simplify right side
    1,642.57x = 2,589,439.20
  5. Step 5: Solve for x
    x = 2,589,439.20/1,642.57
  6. Step 6: Final answer
    x = 1,576.46

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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.