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Finding the Fourth Proportional to 2,723, 4,083.12 and 1,162.76

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Solution

The fourth proportional to 2,723, 4,083.12 and 1,162.76 is: 1,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723 : 4,083.12 = 1,162.76 : x
  2. Step 2: Convert to fraction form
    2,723/4,083.12 = 1,162.76/x
  3. Step 3: Cross multiply
    2,723x = 4,083.12 × 1,162.76
  4. Step 4: Simplify right side
    2,723x = 4,747,688.61
  5. Step 5: Solve for x
    x = 4,747,688.61/2,723
  6. Step 6: Final answer
    x = 1,743.55

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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.