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Finding the Fourth Proportional to 1,609.62, 2,218.05 and 1,049.46

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Solution

The fourth proportional to 1,609.62, 2,218.05 and 1,049.46 is: 1,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.62 : 2,218.05 = 1,049.46 : x
  2. Step 2: Convert to fraction form
    1,609.62/2,218.05 = 1,049.46/x
  3. Step 3: Cross multiply
    1,609.62x = 2,218.05 × 1,049.46
  4. Step 4: Simplify right side
    1,609.62x = 2,327,754.75
  5. Step 5: Solve for x
    x = 2,327,754.75/1,609.62
  6. Step 6: Final answer
    x = 1,446.15

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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.