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Finding the Fourth Proportional to 2,689.61, 3,711.02 and 2,060.78

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Solution

The fourth proportional to 2,689.61, 3,711.02 and 2,060.78 is: 2,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.61 : 3,711.02 = 2,060.78 : x
  2. Step 2: Convert to fraction form
    2,689.61/3,711.02 = 2,060.78/x
  3. Step 3: Cross multiply
    2,689.61x = 3,711.02 × 2,060.78
  4. Step 4: Simplify right side
    2,689.61x = 7,647,566.94
  5. Step 5: Solve for x
    x = 7,647,566.94/2,689.61
  6. Step 6: Final answer
    x = 2,843.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.