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Finding the Fourth Proportional to 1,609.64, 2,414.46 and 743.84

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Solution

The fourth proportional to 1,609.64, 2,414.46 and 743.84 is: 1,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.64 : 2,414.46 = 743.84 : x
  2. Step 2: Convert to fraction form
    1,609.64/2,414.46 = 743.84/x
  3. Step 3: Cross multiply
    1,609.64x = 2,414.46 × 743.84
  4. Step 4: Simplify right side
    1,609.64x = 1,795,971.93
  5. Step 5: Solve for x
    x = 1,795,971.93/1,609.64
  6. Step 6: Final answer
    x = 1,115.76

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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.