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Finding the Fourth Proportional to 1,640.46, 2,456.73 and 945.42

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Solution

The fourth proportional to 1,640.46, 2,456.73 and 945.42 is: 1,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.46 : 2,456.73 = 945.42 : x
  2. Step 2: Convert to fraction form
    1,640.46/2,456.73 = 945.42/x
  3. Step 3: Cross multiply
    1,640.46x = 2,456.73 × 945.42
  4. Step 4: Simplify right side
    1,640.46x = 2,322,641.68
  5. Step 5: Solve for x
    x = 2,322,641.68/1,640.46
  6. Step 6: Final answer
    x = 1,415.85

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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.