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Finding the Fourth Proportional to 2,833.74, 4,250.85 and 885.96

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Solution

The fourth proportional to 2,833.74, 4,250.85 and 885.96 is: 1,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.74 : 4,250.85 = 885.96 : x
  2. Step 2: Convert to fraction form
    2,833.74/4,250.85 = 885.96/x
  3. Step 3: Cross multiply
    2,833.74x = 4,250.85 × 885.96
  4. Step 4: Simplify right side
    2,833.74x = 3,766,083.07
  5. Step 5: Solve for x
    x = 3,766,083.07/2,833.74
  6. Step 6: Final answer
    x = 1,329.02

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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.