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Finding the Fourth Proportional to 2,238.23, 3,358.42 and 922.95

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Solution

The fourth proportional to 2,238.23, 3,358.42 and 922.95 is: 1,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.23 : 3,358.42 = 922.95 : x
  2. Step 2: Convert to fraction form
    2,238.23/3,358.42 = 922.95/x
  3. Step 3: Cross multiply
    2,238.23x = 3,358.42 × 922.95
  4. Step 4: Simplify right side
    2,238.23x = 3,099,653.74
  5. Step 5: Solve for x
    x = 3,099,653.74/2,238.23
  6. Step 6: Final answer
    x = 1,384.87

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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.