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Finding the Fourth Proportional to 2,761.42, 4,142.19 and 1,006.78

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Solution

The fourth proportional to 2,761.42, 4,142.19 and 1,006.78 is: 1,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.42 : 4,142.19 = 1,006.78 : x
  2. Step 2: Convert to fraction form
    2,761.42/4,142.19 = 1,006.78/x
  3. Step 3: Cross multiply
    2,761.42x = 4,142.19 × 1,006.78
  4. Step 4: Simplify right side
    2,761.42x = 4,170,274.05
  5. Step 5: Solve for x
    x = 4,170,274.05/2,761.42
  6. Step 6: Final answer
    x = 1,510.19

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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.