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Finding the Fourth Proportional to 1,863.71, 2,794.80 and 547.10

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Solution

The fourth proportional to 1,863.71, 2,794.80 and 547.10 is: 820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.71 : 2,794.80 = 547.10 : x
  2. Step 2: Convert to fraction form
    1,863.71/2,794.80 = 547.10/x
  3. Step 3: Cross multiply
    1,863.71x = 2,794.80 × 547.10
  4. Step 4: Simplify right side
    1,863.71x = 1,529,049.36
  5. Step 5: Solve for x
    x = 1,529,049.36/1,863.71
  6. Step 6: Final answer
    x = 820.43

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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.