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Finding the Fourth Proportional to 2,197.50, 3,296.26 and 898.97

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Solution

The fourth proportional to 2,197.50, 3,296.26 and 898.97 is: 1,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.50 : 3,296.26 = 898.97 : x
  2. Step 2: Convert to fraction form
    2,197.50/3,296.26 = 898.97/x
  3. Step 3: Cross multiply
    2,197.50x = 3,296.26 × 898.97
  4. Step 4: Simplify right side
    2,197.50x = 2,963,238.85
  5. Step 5: Solve for x
    x = 2,963,238.85/2,197.50
  6. Step 6: Final answer
    x = 1,348.46

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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.