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Finding the Fourth Proportional to 2,405.31, 3,319.17 and 1,343.22

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Solution

The fourth proportional to 2,405.31, 3,319.17 and 1,343.22 is: 1,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.31 : 3,319.17 = 1,343.22 : x
  2. Step 2: Convert to fraction form
    2,405.31/3,319.17 = 1,343.22/x
  3. Step 3: Cross multiply
    2,405.31x = 3,319.17 × 1,343.22
  4. Step 4: Simplify right side
    2,405.31x = 4,458,375.53
  5. Step 5: Solve for x
    x = 4,458,375.53/2,405.31
  6. Step 6: Final answer
    x = 1,853.56

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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.