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Finding the Fourth Proportional to 2,827.52, 4,241.16 and 1,288.52

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Solution

The fourth proportional to 2,827.52, 4,241.16 and 1,288.52 is: 1,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.52 : 4,241.16 = 1,288.52 : x
  2. Step 2: Convert to fraction form
    2,827.52/4,241.16 = 1,288.52/x
  3. Step 3: Cross multiply
    2,827.52x = 4,241.16 × 1,288.52
  4. Step 4: Simplify right side
    2,827.52x = 5,464,819.48
  5. Step 5: Solve for x
    x = 5,464,819.48/2,827.52
  6. Step 6: Final answer
    x = 1,932.73

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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.