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Finding the Fourth Proportional to 3,422.66, 5,131.25 and 1,343.18

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Solution

The fourth proportional to 3,422.66, 5,131.25 and 1,343.18 is: 2,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.66 : 5,131.25 = 1,343.18 : x
  2. Step 2: Convert to fraction form
    3,422.66/5,131.25 = 1,343.18/x
  3. Step 3: Cross multiply
    3,422.66x = 5,131.25 × 1,343.18
  4. Step 4: Simplify right side
    3,422.66x = 6,892,203.52
  5. Step 5: Solve for x
    x = 6,892,203.52/3,422.66
  6. Step 6: Final answer
    x = 2,013.70

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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.