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Finding the Fourth Proportional to 2,197.04, 3,295.70 and 736.18

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Solution

The fourth proportional to 2,197.04, 3,295.70 and 736.18 is: 1,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.04 : 3,295.70 = 736.18 : x
  2. Step 2: Convert to fraction form
    2,197.04/3,295.70 = 736.18/x
  3. Step 3: Cross multiply
    2,197.04x = 3,295.70 × 736.18
  4. Step 4: Simplify right side
    2,197.04x = 2,426,228.43
  5. Step 5: Solve for x
    x = 2,426,228.43/2,197.04
  6. Step 6: Final answer
    x = 1,104.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.