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Finding the Fourth Proportional to 2,197.52, 3,297.24 and 898.76

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Solution

The fourth proportional to 2,197.52, 3,297.24 and 898.76 is: 1,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.52 : 3,297.24 = 898.76 : x
  2. Step 2: Convert to fraction form
    2,197.52/3,297.24 = 898.76/x
  3. Step 3: Cross multiply
    2,197.52x = 3,297.24 × 898.76
  4. Step 4: Simplify right side
    2,197.52x = 2,963,427.42
  5. Step 5: Solve for x
    x = 2,963,427.42/2,197.52
  6. Step 6: Final answer
    x = 1,348.53

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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.