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Finding the Fourth Proportional to 1,843.76, 2,765.64 and 546.20

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Solution

The fourth proportional to 1,843.76, 2,765.64 and 546.20 is: 819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.76 : 2,765.64 = 546.20 : x
  2. Step 2: Convert to fraction form
    1,843.76/2,765.64 = 546.20/x
  3. Step 3: Cross multiply
    1,843.76x = 2,765.64 × 546.20
  4. Step 4: Simplify right side
    1,843.76x = 1,510,592.57
  5. Step 5: Solve for x
    x = 1,510,592.57/1,843.76
  6. Step 6: Final answer
    x = 819.30

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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.