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Finding the Fourth Proportional to 1,235.11, 1,847.02 and 922.97

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Solution

The fourth proportional to 1,235.11, 1,847.02 and 922.97 is: 1,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.11 : 1,847.02 = 922.97 : x
  2. Step 2: Convert to fraction form
    1,235.11/1,847.02 = 922.97/x
  3. Step 3: Cross multiply
    1,235.11x = 1,847.02 × 922.97
  4. Step 4: Simplify right side
    1,235.11x = 1,704,744.05
  5. Step 5: Solve for x
    x = 1,704,744.05/1,235.11
  6. Step 6: Final answer
    x = 1,380.24

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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.