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Finding the Fourth Proportional to 2,349.04, 3,523.20 and 868

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Solution

The fourth proportional to 2,349.04, 3,523.20 and 868 is: 1,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.04 : 3,523.20 = 868 : x
  2. Step 2: Convert to fraction form
    2,349.04/3,523.20 = 868/x
  3. Step 3: Cross multiply
    2,349.04x = 3,523.20 × 868
  4. Step 4: Simplify right side
    2,349.04x = 3,058,137.60
  5. Step 5: Solve for x
    x = 3,058,137.60/2,349.04
  6. Step 6: Final answer
    x = 1,301.87

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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.