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Finding the Fourth Proportional to 3,197.17, 4,794.61 and 1,223.35

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Solution

The fourth proportional to 3,197.17, 4,794.61 and 1,223.35 is: 1,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.17 : 4,794.61 = 1,223.35 : x
  2. Step 2: Convert to fraction form
    3,197.17/4,794.61 = 1,223.35/x
  3. Step 3: Cross multiply
    3,197.17x = 4,794.61 × 1,223.35
  4. Step 4: Simplify right side
    3,197.17x = 5,865,500.36
  5. Step 5: Solve for x
    x = 5,865,500.36/3,197.17
  6. Step 6: Final answer
    x = 1,834.59

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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.