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Finding the Fourth Proportional to 1,847.46, 2,771.31 and 615.73

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Solution

The fourth proportional to 1,847.46, 2,771.31 and 615.73 is: 923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.46 : 2,771.31 = 615.73 : x
  2. Step 2: Convert to fraction form
    1,847.46/2,771.31 = 615.73/x
  3. Step 3: Cross multiply
    1,847.46x = 2,771.31 × 615.73
  4. Step 4: Simplify right side
    1,847.46x = 1,706,371.49
  5. Step 5: Solve for x
    x = 1,706,371.49/1,847.46
  6. Step 6: Final answer
    x = 923.63

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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.