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Finding the Fourth Proportional to 2,785.76, 4,179.24 and 1,247.84

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Solution

The fourth proportional to 2,785.76, 4,179.24 and 1,247.84 is: 1,872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.76 : 4,179.24 = 1,247.84 : x
  2. Step 2: Convert to fraction form
    2,785.76/4,179.24 = 1,247.84/x
  3. Step 3: Cross multiply
    2,785.76x = 4,179.24 × 1,247.84
  4. Step 4: Simplify right side
    2,785.76x = 5,215,022.84
  5. Step 5: Solve for x
    x = 5,215,022.84/2,785.76
  6. Step 6: Final answer
    x = 1,872.03

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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.