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Finding the Fourth Proportional to 2,827.83, 3,902.16 and 1,568.97

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Solution

The fourth proportional to 2,827.83, 3,902.16 and 1,568.97 is: 2,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.83 : 3,902.16 = 1,568.97 : x
  2. Step 2: Convert to fraction form
    2,827.83/3,902.16 = 1,568.97/x
  3. Step 3: Cross multiply
    2,827.83x = 3,902.16 × 1,568.97
  4. Step 4: Simplify right side
    2,827.83x = 6,122,371.98
  5. Step 5: Solve for x
    x = 6,122,371.98/2,827.83
  6. Step 6: Final answer
    x = 2,165.04

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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.