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Finding the Fourth Proportional to 2,665, 3,678.23 and 1,546.18

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Solution

The fourth proportional to 2,665, 3,678.23 and 1,546.18 is: 2,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665 : 3,678.23 = 1,546.18 : x
  2. Step 2: Convert to fraction form
    2,665/3,678.23 = 1,546.18/x
  3. Step 3: Cross multiply
    2,665x = 3,678.23 × 1,546.18
  4. Step 4: Simplify right side
    2,665x = 5,687,205.66
  5. Step 5: Solve for x
    x = 5,687,205.66/2,665
  6. Step 6: Final answer
    x = 2,134.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.