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Finding the Fourth Proportional to 1,233.30, 1,847.41 and 821.11

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Solution

The fourth proportional to 1,233.30, 1,847.41 and 821.11 is: 1,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.30 : 1,847.41 = 821.11 : x
  2. Step 2: Convert to fraction form
    1,233.30/1,847.41 = 821.11/x
  3. Step 3: Cross multiply
    1,233.30x = 1,847.41 × 821.11
  4. Step 4: Simplify right side
    1,233.30x = 1,516,926.83
  5. Step 5: Solve for x
    x = 1,516,926.83/1,233.30
  6. Step 6: Final answer
    x = 1,229.97

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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.