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Finding the Fourth Proportional to 3,370.31, 4,648.64 and 2,306.22

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Solution

The fourth proportional to 3,370.31, 4,648.64 and 2,306.22 is: 3,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.31 : 4,648.64 = 2,306.22 : x
  2. Step 2: Convert to fraction form
    3,370.31/4,648.64 = 2,306.22/x
  3. Step 3: Cross multiply
    3,370.31x = 4,648.64 × 2,306.22
  4. Step 4: Simplify right side
    3,370.31x = 10,720,796.70
  5. Step 5: Solve for x
    x = 10,720,796.70/3,370.31
  6. Step 6: Final answer
    x = 3,180.95

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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.