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Finding the Fourth Proportional to 2,110.86, 3,166.30 and 724.24

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Solution

The fourth proportional to 2,110.86, 3,166.30 and 724.24 is: 1,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.86 : 3,166.30 = 724.24 : x
  2. Step 2: Convert to fraction form
    2,110.86/3,166.30 = 724.24/x
  3. Step 3: Cross multiply
    2,110.86x = 3,166.30 × 724.24
  4. Step 4: Simplify right side
    2,110.86x = 2,293,161.11
  5. Step 5: Solve for x
    x = 2,293,161.11/2,110.86
  6. Step 6: Final answer
    x = 1,086.36

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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.