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Finding the Fourth Proportional to 1,838.41, 2,757.66 and 539.88

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Solution

The fourth proportional to 1,838.41, 2,757.66 and 539.88 is: 809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.41 : 2,757.66 = 539.88 : x
  2. Step 2: Convert to fraction form
    1,838.41/2,757.66 = 539.88/x
  3. Step 3: Cross multiply
    1,838.41x = 2,757.66 × 539.88
  4. Step 4: Simplify right side
    1,838.41x = 1,488,802.78
  5. Step 5: Solve for x
    x = 1,488,802.78/1,838.41
  6. Step 6: Final answer
    x = 809.83

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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.