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Finding the Fourth Proportional to 2,192.67, 3,026.10 and 1,198.10

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Solution

The fourth proportional to 2,192.67, 3,026.10 and 1,198.10 is: 1,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.67 : 3,026.10 = 1,198.10 : x
  2. Step 2: Convert to fraction form
    2,192.67/3,026.10 = 1,198.10/x
  3. Step 3: Cross multiply
    2,192.67x = 3,026.10 × 1,198.10
  4. Step 4: Simplify right side
    2,192.67x = 3,625,562.13
  5. Step 5: Solve for x
    x = 3,625,562.13/2,192.67
  6. Step 6: Final answer
    x = 1,653.49

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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.