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Finding the Fourth Proportional to 2,154.81, 3,233.44 and 922.11

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Solution

The fourth proportional to 2,154.81, 3,233.44 and 922.11 is: 1,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.81 : 3,233.44 = 922.11 : x
  2. Step 2: Convert to fraction form
    2,154.81/3,233.44 = 922.11/x
  3. Step 3: Cross multiply
    2,154.81x = 3,233.44 × 922.11
  4. Step 4: Simplify right side
    2,154.81x = 2,981,587.36
  5. Step 5: Solve for x
    x = 2,981,587.36/2,154.81
  6. Step 6: Final answer
    x = 1,383.69

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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.