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Finding the Fourth Proportional to 2,330.44, 3,494.43 and 868.39

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Solution

The fourth proportional to 2,330.44, 3,494.43 and 868.39 is: 1,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.44 : 3,494.43 = 868.39 : x
  2. Step 2: Convert to fraction form
    2,330.44/3,494.43 = 868.39/x
  3. Step 3: Cross multiply
    2,330.44x = 3,494.43 × 868.39
  4. Step 4: Simplify right side
    2,330.44x = 3,034,519.33
  5. Step 5: Solve for x
    x = 3,034,519.33/2,330.44
  6. Step 6: Final answer
    x = 1,302.12

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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.