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Finding the Fourth Proportional to 2,197.36, 3,295.32 and 736.30

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Solution

The fourth proportional to 2,197.36, 3,295.32 and 736.30 is: 1,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.36 : 3,295.32 = 736.30 : x
  2. Step 2: Convert to fraction form
    2,197.36/3,295.32 = 736.30/x
  3. Step 3: Cross multiply
    2,197.36x = 3,295.32 × 736.30
  4. Step 4: Simplify right side
    2,197.36x = 2,426,344.12
  5. Step 5: Solve for x
    x = 2,426,344.12/2,197.36
  6. Step 6: Final answer
    x = 1,104.21

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1.5x scale

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.