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Finding the Fourth Proportional to 2,444.62, 3,667.49 and 801.13

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Solution

The fourth proportional to 2,444.62, 3,667.49 and 801.13 is: 1,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.62 : 3,667.49 = 801.13 : x
  2. Step 2: Convert to fraction form
    2,444.62/3,667.49 = 801.13/x
  3. Step 3: Cross multiply
    2,444.62x = 3,667.49 × 801.13
  4. Step 4: Simplify right side
    2,444.62x = 2,938,136.26
  5. Step 5: Solve for x
    x = 2,938,136.26/2,444.62
  6. Step 6: Final answer
    x = 1,201.88

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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.