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Finding the Fourth Proportional to 2,689.80, 3,710.82 and 1,694.52

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Solution

The fourth proportional to 2,689.80, 3,710.82 and 1,694.52 is: 2,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.80 : 3,710.82 = 1,694.52 : x
  2. Step 2: Convert to fraction form
    2,689.80/3,710.82 = 1,694.52/x
  3. Step 3: Cross multiply
    2,689.80x = 3,710.82 × 1,694.52
  4. Step 4: Simplify right side
    2,689.80x = 6,288,058.71
  5. Step 5: Solve for x
    x = 6,288,058.71/2,689.80
  6. Step 6: Final answer
    x = 2,337.74

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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.