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Finding the Fourth Proportional to 3,143.54, 4,338.68 and 2,081.31

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Solution

The fourth proportional to 3,143.54, 4,338.68 and 2,081.31 is: 2,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.54 : 4,338.68 = 2,081.31 : x
  2. Step 2: Convert to fraction form
    3,143.54/4,338.68 = 2,081.31/x
  3. Step 3: Cross multiply
    3,143.54x = 4,338.68 × 2,081.31
  4. Step 4: Simplify right side
    3,143.54x = 9,030,127.66
  5. Step 5: Solve for x
    x = 9,030,127.66/3,143.54
  6. Step 6: Final answer
    x = 2,872.60

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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.