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Finding the Fourth Proportional to 2,198.92, 3,032.46 and 1,980.22

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Solution

The fourth proportional to 2,198.92, 3,032.46 and 1,980.22 is: 2,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.92 : 3,032.46 = 1,980.22 : x
  2. Step 2: Convert to fraction form
    2,198.92/3,032.46 = 1,980.22/x
  3. Step 3: Cross multiply
    2,198.92x = 3,032.46 × 1,980.22
  4. Step 4: Simplify right side
    2,198.92x = 6,004,937.94
  5. Step 5: Solve for x
    x = 6,004,937.94/2,198.92
  6. Step 6: Final answer
    x = 2,730.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.