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Finding the Fourth Proportional to 2,833.88, 4,251.20 and 886.23

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Solution

The fourth proportional to 2,833.88, 4,251.20 and 886.23 is: 1,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.88 : 4,251.20 = 886.23 : x
  2. Step 2: Convert to fraction form
    2,833.88/4,251.20 = 886.23/x
  3. Step 3: Cross multiply
    2,833.88x = 4,251.20 × 886.23
  4. Step 4: Simplify right side
    2,833.88x = 3,767,536.54
  5. Step 5: Solve for x
    x = 3,767,536.54/2,833.88
  6. Step 6: Final answer
    x = 1,329.46

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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.