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Finding the Fourth Proportional to 2,196.30, 3,294.90 and 735.57

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Solution

The fourth proportional to 2,196.30, 3,294.90 and 735.57 is: 1,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.30 : 3,294.90 = 735.57 : x
  2. Step 2: Convert to fraction form
    2,196.30/3,294.90 = 735.57/x
  3. Step 3: Cross multiply
    2,196.30x = 3,294.90 × 735.57
  4. Step 4: Simplify right side
    2,196.30x = 2,423,629.59
  5. Step 5: Solve for x
    x = 2,423,629.59/2,196.30
  6. Step 6: Final answer
    x = 1,103.51

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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.