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Finding the Fourth Proportional to 2,743.76, 3,785.20 and 1,916.24

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Solution

The fourth proportional to 2,743.76, 3,785.20 and 1,916.24 is: 2,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.76 : 3,785.20 = 1,916.24 : x
  2. Step 2: Convert to fraction form
    2,743.76/3,785.20 = 1,916.24/x
  3. Step 3: Cross multiply
    2,743.76x = 3,785.20 × 1,916.24
  4. Step 4: Simplify right side
    2,743.76x = 7,253,351.65
  5. Step 5: Solve for x
    x = 7,253,351.65/2,743.76
  6. Step 6: Final answer
    x = 2,643.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.