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Finding the Fourth Proportional to 1,609.20, 2,412.92 and 569.16

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Solution

The fourth proportional to 1,609.20, 2,412.92 and 569.16 is: 853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.20 : 2,412.92 = 569.16 : x
  2. Step 2: Convert to fraction form
    1,609.20/2,412.92 = 569.16/x
  3. Step 3: Cross multiply
    1,609.20x = 2,412.92 × 569.16
  4. Step 4: Simplify right side
    1,609.20x = 1,373,338.97
  5. Step 5: Solve for x
    x = 1,373,338.97/1,609.20
  6. Step 6: Final answer
    x = 853.43

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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.