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Finding the Fourth Proportional to 2,886.75, 3,983.85 and 1,644.75

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Solution

The fourth proportional to 2,886.75, 3,983.85 and 1,644.75 is: 2,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.75 : 3,983.85 = 1,644.75 : x
  2. Step 2: Convert to fraction form
    2,886.75/3,983.85 = 1,644.75/x
  3. Step 3: Cross multiply
    2,886.75x = 3,983.85 × 1,644.75
  4. Step 4: Simplify right side
    2,886.75x = 6,552,437.29
  5. Step 5: Solve for x
    x = 6,552,437.29/2,886.75
  6. Step 6: Final answer
    x = 2,269.83

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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.