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Finding the Fourth Proportional to 1,609.82, 2,221.92 and 1,049.31

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Solution

The fourth proportional to 1,609.82, 2,221.92 and 1,049.31 is: 1,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.82 : 2,221.92 = 1,049.31 : x
  2. Step 2: Convert to fraction form
    1,609.82/2,221.92 = 1,049.31/x
  3. Step 3: Cross multiply
    1,609.82x = 2,221.92 × 1,049.31
  4. Step 4: Simplify right side
    1,609.82x = 2,331,482.88
  5. Step 5: Solve for x
    x = 2,331,482.88/1,609.82
  6. Step 6: Final answer
    x = 1,448.29

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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.