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Finding the Fourth Proportional to 1,609.75, 2,412.78 and 731.31

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Solution

The fourth proportional to 1,609.75, 2,412.78 and 731.31 is: 1,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.75 : 2,412.78 = 731.31 : x
  2. Step 2: Convert to fraction form
    1,609.75/2,412.78 = 731.31/x
  3. Step 3: Cross multiply
    1,609.75x = 2,412.78 × 731.31
  4. Step 4: Simplify right side
    1,609.75x = 1,764,490.14
  5. Step 5: Solve for x
    x = 1,764,490.14/1,609.75
  6. Step 6: Final answer
    x = 1,096.13

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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.