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Finding the Fourth Proportional to 1,838.34, 2,757.46 and 451.66

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Solution

The fourth proportional to 1,838.34, 2,757.46 and 451.66 is: 677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.34 : 2,757.46 = 451.66 : x
  2. Step 2: Convert to fraction form
    1,838.34/2,757.46 = 451.66/x
  3. Step 3: Cross multiply
    1,838.34x = 2,757.46 × 451.66
  4. Step 4: Simplify right side
    1,838.34x = 1,245,432.13
  5. Step 5: Solve for x
    x = 1,245,432.13/1,838.34
  6. Step 6: Final answer
    x = 677.48

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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.