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Finding the Fourth Proportional to 2,706.87, 4,060.16 and 951.96

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Solution

The fourth proportional to 2,706.87, 4,060.16 and 951.96 is: 1,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.87 : 4,060.16 = 951.96 : x
  2. Step 2: Convert to fraction form
    2,706.87/4,060.16 = 951.96/x
  3. Step 3: Cross multiply
    2,706.87x = 4,060.16 × 951.96
  4. Step 4: Simplify right side
    2,706.87x = 3,865,105.15
  5. Step 5: Solve for x
    x = 3,865,105.15/2,706.87
  6. Step 6: Final answer
    x = 1,427.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.