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Finding the Fourth Proportional to 2,294.10, 3,439.08 and 832.23

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Solution

The fourth proportional to 2,294.10, 3,439.08 and 832.23 is: 1,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.10 : 3,439.08 = 832.23 : x
  2. Step 2: Convert to fraction form
    2,294.10/3,439.08 = 832.23/x
  3. Step 3: Cross multiply
    2,294.10x = 3,439.08 × 832.23
  4. Step 4: Simplify right side
    2,294.10x = 2,862,105.55
  5. Step 5: Solve for x
    x = 2,862,105.55/2,294.10
  6. Step 6: Final answer
    x = 1,247.59

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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.