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Finding the Fourth Proportional to 2,782.73, 4,169.69 and 2,260.19

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Solution

The fourth proportional to 2,782.73, 4,169.69 and 2,260.19 is: 3,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.73 : 4,169.69 = 2,260.19 : x
  2. Step 2: Convert to fraction form
    2,782.73/4,169.69 = 2,260.19/x
  3. Step 3: Cross multiply
    2,782.73x = 4,169.69 × 2,260.19
  4. Step 4: Simplify right side
    2,782.73x = 9,424,290.76
  5. Step 5: Solve for x
    x = 9,424,290.76/2,782.73
  6. Step 6: Final answer
    x = 3,386.71

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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.