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Finding the Fourth Proportional to 2,329.52, 3,494.28 and 868.28

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Solution

The fourth proportional to 2,329.52, 3,494.28 and 868.28 is: 1,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.52 : 3,494.28 = 868.28 : x
  2. Step 2: Convert to fraction form
    2,329.52/3,494.28 = 868.28/x
  3. Step 3: Cross multiply
    2,329.52x = 3,494.28 × 868.28
  4. Step 4: Simplify right side
    2,329.52x = 3,034,013.44
  5. Step 5: Solve for x
    x = 3,034,013.44/2,329.52
  6. Step 6: Final answer
    x = 1,302.42

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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.