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Finding the Fourth Proportional to 3,354.31, 4,627.78 and 2,077.19

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Solution

The fourth proportional to 3,354.31, 4,627.78 and 2,077.19 is: 2,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.31 : 4,627.78 = 2,077.19 : x
  2. Step 2: Convert to fraction form
    3,354.31/4,627.78 = 2,077.19/x
  3. Step 3: Cross multiply
    3,354.31x = 4,627.78 × 2,077.19
  4. Step 4: Simplify right side
    3,354.31x = 9,612,805.08
  5. Step 5: Solve for x
    x = 9,612,805.08/3,354.31
  6. Step 6: Final answer
    x = 2,865.81

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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.