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Finding the Fourth Proportional to 2,111.25, 3,166.92 and 724.58

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Solution

The fourth proportional to 2,111.25, 3,166.92 and 724.58 is: 1,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.25 : 3,166.92 = 724.58 : x
  2. Step 2: Convert to fraction form
    2,111.25/3,166.92 = 724.58/x
  3. Step 3: Cross multiply
    2,111.25x = 3,166.92 × 724.58
  4. Step 4: Simplify right side
    2,111.25x = 2,294,686.89
  5. Step 5: Solve for x
    x = 2,294,686.89/2,111.25
  6. Step 6: Final answer
    x = 1,086.89

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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.