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Finding the Fourth Proportional to 2,111.88, 3,166.98 and 724.92

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Solution

The fourth proportional to 2,111.88, 3,166.98 and 724.92 is: 1,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.88 : 3,166.98 = 724.92 : x
  2. Step 2: Convert to fraction form
    2,111.88/3,166.98 = 724.92/x
  3. Step 3: Cross multiply
    2,111.88x = 3,166.98 × 724.92
  4. Step 4: Simplify right side
    2,111.88x = 2,295,807.14
  5. Step 5: Solve for x
    x = 2,295,807.14/2,111.88
  6. Step 6: Final answer
    x = 1,087.09

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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.