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Finding the Fourth Proportional to 2,827.70, 3,902.24 and 1,568.96

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Solution

The fourth proportional to 2,827.70, 3,902.24 and 1,568.96 is: 2,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.70 : 3,902.24 = 1,568.96 : x
  2. Step 2: Convert to fraction form
    2,827.70/3,902.24 = 1,568.96/x
  3. Step 3: Cross multiply
    2,827.70x = 3,902.24 × 1,568.96
  4. Step 4: Simplify right side
    2,827.70x = 6,122,458.47
  5. Step 5: Solve for x
    x = 6,122,458.47/2,827.70
  6. Step 6: Final answer
    x = 2,165.17

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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.