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Finding the Fourth Proportional to 2,198.80, 3,295.32 and 898.78

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Solution

The fourth proportional to 2,198.80, 3,295.32 and 898.78 is: 1,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.80 : 3,295.32 = 898.78 : x
  2. Step 2: Convert to fraction form
    2,198.80/3,295.32 = 898.78/x
  3. Step 3: Cross multiply
    2,198.80x = 3,295.32 × 898.78
  4. Step 4: Simplify right side
    2,198.80x = 2,961,767.71
  5. Step 5: Solve for x
    x = 2,961,767.71/2,198.80
  6. Step 6: Final answer
    x = 1,346.99

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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.