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Finding the Fourth Proportional to 1,981, 2,733.92 and 1,195

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Solution

The fourth proportional to 1,981, 2,733.92 and 1,195 is: 1,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981 : 2,733.92 = 1,195 : x
  2. Step 2: Convert to fraction form
    1,981/2,733.92 = 1,195/x
  3. Step 3: Cross multiply
    1,981x = 2,733.92 × 1,195
  4. Step 4: Simplify right side
    1,981x = 3,267,034.40
  5. Step 5: Solve for x
    x = 3,267,034.40/1,981
  6. Step 6: Final answer
    x = 1,649.18

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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.