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Finding the Fourth Proportional to 2,111.38, 3,166.31 and 724.34

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Solution

The fourth proportional to 2,111.38, 3,166.31 and 724.34 is: 1,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.38 : 3,166.31 = 724.34 : x
  2. Step 2: Convert to fraction form
    2,111.38/3,166.31 = 724.34/x
  3. Step 3: Cross multiply
    2,111.38x = 3,166.31 × 724.34
  4. Step 4: Simplify right side
    2,111.38x = 2,293,490.64
  5. Step 5: Solve for x
    x = 2,293,490.64/2,111.38
  6. Step 6: Final answer
    x = 1,086.25

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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.