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Finding the Fourth Proportional to 2,827.31, 4,241.06 and 747.33

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Solution

The fourth proportional to 2,827.31, 4,241.06 and 747.33 is: 1,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.31 : 4,241.06 = 747.33 : x
  2. Step 2: Convert to fraction form
    2,827.31/4,241.06 = 747.33/x
  3. Step 3: Cross multiply
    2,827.31x = 4,241.06 × 747.33
  4. Step 4: Simplify right side
    2,827.31x = 3,169,454.53
  5. Step 5: Solve for x
    x = 3,169,454.53/2,827.31
  6. Step 6: Final answer
    x = 1,121.02

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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.