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Finding the Fourth Proportional to 1,344.31, 2,000.20 and 1,310.83

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Solution

The fourth proportional to 1,344.31, 2,000.20 and 1,310.83 is: 1,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.31 : 2,000.20 = 1,310.83 : x
  2. Step 2: Convert to fraction form
    1,344.31/2,000.20 = 1,310.83/x
  3. Step 3: Cross multiply
    1,344.31x = 2,000.20 × 1,310.83
  4. Step 4: Simplify right side
    1,344.31x = 2,621,922.17
  5. Step 5: Solve for x
    x = 2,621,922.17/1,344.31
  6. Step 6: Final answer
    x = 1,950.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.