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Finding the Fourth Proportional to 2,329.92, 3,493.80 and 868.14

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Solution

The fourth proportional to 2,329.92, 3,493.80 and 868.14 is: 1,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.92 : 3,493.80 = 868.14 : x
  2. Step 2: Convert to fraction form
    2,329.92/3,493.80 = 868.14/x
  3. Step 3: Cross multiply
    2,329.92x = 3,493.80 × 868.14
  4. Step 4: Simplify right side
    2,329.92x = 3,033,107.53
  5. Step 5: Solve for x
    x = 3,033,107.53/2,329.92
  6. Step 6: Final answer
    x = 1,301.81

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1.5x scale

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.