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Finding the Fourth Proportional to 1,998.15, 2,757.81 and 1,159.39

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Solution

The fourth proportional to 1,998.15, 2,757.81 and 1,159.39 is: 1,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.15 : 2,757.81 = 1,159.39 : x
  2. Step 2: Convert to fraction form
    1,998.15/2,757.81 = 1,159.39/x
  3. Step 3: Cross multiply
    1,998.15x = 2,757.81 × 1,159.39
  4. Step 4: Simplify right side
    1,998.15x = 3,197,377.34
  5. Step 5: Solve for x
    x = 3,197,377.34/1,998.15
  6. Step 6: Final answer
    x = 1,600.17

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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.