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Finding the Fourth Proportional to 2,329.80, 3,494.72 and 686.37

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Solution

The fourth proportional to 2,329.80, 3,494.72 and 686.37 is: 1,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.80 : 3,494.72 = 686.37 : x
  2. Step 2: Convert to fraction form
    2,329.80/3,494.72 = 686.37/x
  3. Step 3: Cross multiply
    2,329.80x = 3,494.72 × 686.37
  4. Step 4: Simplify right side
    2,329.80x = 2,398,685.79
  5. Step 5: Solve for x
    x = 2,398,685.79/2,329.80
  6. Step 6: Final answer
    x = 1,029.57

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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.