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Finding the Fourth Proportional to 2,766.80, 4,152.90 and 1,381.70

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Solution

The fourth proportional to 2,766.80, 4,152.90 and 1,381.70 is: 2,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.80 : 4,152.90 = 1,381.70 : x
  2. Step 2: Convert to fraction form
    2,766.80/4,152.90 = 1,381.70/x
  3. Step 3: Cross multiply
    2,766.80x = 4,152.90 × 1,381.70
  4. Step 4: Simplify right side
    2,766.80x = 5,738,061.93
  5. Step 5: Solve for x
    x = 5,738,061.93/2,766.80
  6. Step 6: Final answer
    x = 2,073.90

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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.