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Finding the Fourth Proportional to 2,294.30, 3,440.10 and 832.80

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Solution

The fourth proportional to 2,294.30, 3,440.10 and 832.80 is: 1,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.30 : 3,440.10 = 832.80 : x
  2. Step 2: Convert to fraction form
    2,294.30/3,440.10 = 832.80/x
  3. Step 3: Cross multiply
    2,294.30x = 3,440.10 × 832.80
  4. Step 4: Simplify right side
    2,294.30x = 2,864,915.28
  5. Step 5: Solve for x
    x = 2,864,915.28/2,294.30
  6. Step 6: Final answer
    x = 1,248.71

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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.