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Finding the Fourth Proportional to 2,785.28, 3,845.12 and 1,902.72

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Solution

The fourth proportional to 2,785.28, 3,845.12 and 1,902.72 is: 2,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.28 : 3,845.12 = 1,902.72 : x
  2. Step 2: Convert to fraction form
    2,785.28/3,845.12 = 1,902.72/x
  3. Step 3: Cross multiply
    2,785.28x = 3,845.12 × 1,902.72
  4. Step 4: Simplify right side
    2,785.28x = 7,316,186.73
  5. Step 5: Solve for x
    x = 7,316,186.73/2,785.28
  6. Step 6: Final answer
    x = 2,626.73

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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.