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Finding the Fourth Proportional to 1,838.52, 2,757.06 and 539.64

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Solution

The fourth proportional to 1,838.52, 2,757.06 and 539.64 is: 809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.52 : 2,757.06 = 539.64 : x
  2. Step 2: Convert to fraction form
    1,838.52/2,757.06 = 539.64/x
  3. Step 3: Cross multiply
    1,838.52x = 2,757.06 × 539.64
  4. Step 4: Simplify right side
    1,838.52x = 1,487,819.86
  5. Step 5: Solve for x
    x = 1,487,819.86/1,838.52
  6. Step 6: Final answer
    x = 809.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.