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Finding the Fourth Proportional to 1,335.16, 1,999.81 and 1,101.42

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Solution

The fourth proportional to 1,335.16, 1,999.81 and 1,101.42 is: 1,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.16 : 1,999.81 = 1,101.42 : x
  2. Step 2: Convert to fraction form
    1,335.16/1,999.81 = 1,101.42/x
  3. Step 3: Cross multiply
    1,335.16x = 1,999.81 × 1,101.42
  4. Step 4: Simplify right side
    1,335.16x = 2,202,630.73
  5. Step 5: Solve for x
    x = 2,202,630.73/1,335.16
  6. Step 6: Final answer
    x = 1,649.71

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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.