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Finding the Fourth Proportional to 2,329.28, 3,494.40 and 868.08

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Solution

The fourth proportional to 2,329.28, 3,494.40 and 868.08 is: 1,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.28 : 3,494.40 = 868.08 : x
  2. Step 2: Convert to fraction form
    2,329.28/3,494.40 = 868.08/x
  3. Step 3: Cross multiply
    2,329.28x = 3,494.40 × 868.08
  4. Step 4: Simplify right side
    2,329.28x = 3,033,418.75
  5. Step 5: Solve for x
    x = 3,033,418.75/2,329.28
  6. Step 6: Final answer
    x = 1,302.30

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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.