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Finding the Fourth Proportional to 2,197.13, 3,295.68 and 736.28

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Solution

The fourth proportional to 2,197.13, 3,295.68 and 736.28 is: 1,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.13 : 3,295.68 = 736.28 : x
  2. Step 2: Convert to fraction form
    2,197.13/3,295.68 = 736.28/x
  3. Step 3: Cross multiply
    2,197.13x = 3,295.68 × 736.28
  4. Step 4: Simplify right side
    2,197.13x = 2,426,526.79
  5. Step 5: Solve for x
    x = 2,426,526.79/2,197.13
  6. Step 6: Final answer
    x = 1,104.41

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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.