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Finding the Fourth Proportional to 1,796.97, 2,695.23 and 1,335.42

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Solution

The fourth proportional to 1,796.97, 2,695.23 and 1,335.42 is: 2,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.97 : 2,695.23 = 1,335.42 : x
  2. Step 2: Convert to fraction form
    1,796.97/2,695.23 = 1,335.42/x
  3. Step 3: Cross multiply
    1,796.97x = 2,695.23 × 1,335.42
  4. Step 4: Simplify right side
    1,796.97x = 3,599,269.75
  5. Step 5: Solve for x
    x = 3,599,269.75/1,796.97
  6. Step 6: Final answer
    x = 2,002.96

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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.