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Finding the Fourth Proportional to 2,197.45, 3,297.39 and 898.82

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Solution

The fourth proportional to 2,197.45, 3,297.39 and 898.82 is: 1,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.45 : 3,297.39 = 898.82 : x
  2. Step 2: Convert to fraction form
    2,197.45/3,297.39 = 898.82/x
  3. Step 3: Cross multiply
    2,197.45x = 3,297.39 × 898.82
  4. Step 4: Simplify right side
    2,197.45x = 2,963,739.10
  5. Step 5: Solve for x
    x = 2,963,739.10/2,197.45
  6. Step 6: Final answer
    x = 1,348.72

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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.