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Finding the Fourth Proportional to 2,744.74, 4,113.67 and 1,182.92

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Solution

The fourth proportional to 2,744.74, 4,113.67 and 1,182.92 is: 1,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.74 : 4,113.67 = 1,182.92 : x
  2. Step 2: Convert to fraction form
    2,744.74/4,113.67 = 1,182.92/x
  3. Step 3: Cross multiply
    2,744.74x = 4,113.67 × 1,182.92
  4. Step 4: Simplify right side
    2,744.74x = 4,866,122.00
  5. Step 5: Solve for x
    x = 4,866,122.00/2,744.74
  6. Step 6: Final answer
    x = 1,772.89

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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.