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Finding the Fourth Proportional to 2,886.36, 3,983.82 and 2,255.64

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Solution

The fourth proportional to 2,886.36, 3,983.82 and 2,255.64 is: 3,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.36 : 3,983.82 = 2,255.64 : x
  2. Step 2: Convert to fraction form
    2,886.36/3,983.82 = 2,255.64/x
  3. Step 3: Cross multiply
    2,886.36x = 3,983.82 × 2,255.64
  4. Step 4: Simplify right side
    2,886.36x = 8,986,063.74
  5. Step 5: Solve for x
    x = 8,986,063.74/2,886.36
  6. Step 6: Final answer
    x = 3,113.29

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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.