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Finding the Fourth Proportional to 1,546.70, 2,318.42 and 814.66

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Solution

The fourth proportional to 1,546.70, 2,318.42 and 814.66 is: 1,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.70 : 2,318.42 = 814.66 : x
  2. Step 2: Convert to fraction form
    1,546.70/2,318.42 = 814.66/x
  3. Step 3: Cross multiply
    1,546.70x = 2,318.42 × 814.66
  4. Step 4: Simplify right side
    1,546.70x = 1,888,720.28
  5. Step 5: Solve for x
    x = 1,888,720.28/1,546.70
  6. Step 6: Final answer
    x = 1,221.13

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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.