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Finding the Fourth Proportional to 2,515.19, 3,772.24 and 849.15

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Solution

The fourth proportional to 2,515.19, 3,772.24 and 849.15 is: 1,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.19 : 3,772.24 = 849.15 : x
  2. Step 2: Convert to fraction form
    2,515.19/3,772.24 = 849.15/x
  3. Step 3: Cross multiply
    2,515.19x = 3,772.24 × 849.15
  4. Step 4: Simplify right side
    2,515.19x = 3,203,195.47
  5. Step 5: Solve for x
    x = 3,203,195.47/2,515.19
  6. Step 6: Final answer
    x = 1,273.54

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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.