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Finding the Fourth Proportional to 2,011.89, 3,016.97 and 916.95

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Solution

The fourth proportional to 2,011.89, 3,016.97 and 916.95 is: 1,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.89 : 3,016.97 = 916.95 : x
  2. Step 2: Convert to fraction form
    2,011.89/3,016.97 = 916.95/x
  3. Step 3: Cross multiply
    2,011.89x = 3,016.97 × 916.95
  4. Step 4: Simplify right side
    2,011.89x = 2,766,397.85
  5. Step 5: Solve for x
    x = 2,766,397.85/2,011.89
  6. Step 6: Final answer
    x = 1,375.03

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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.