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Finding the Fourth Proportional to 2,223.34, 3,065.38 and 1,467

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Solution

The fourth proportional to 2,223.34, 3,065.38 and 1,467 is: 2,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.34 : 3,065.38 = 1,467 : x
  2. Step 2: Convert to fraction form
    2,223.34/3,065.38 = 1,467/x
  3. Step 3: Cross multiply
    2,223.34x = 3,065.38 × 1,467
  4. Step 4: Simplify right side
    2,223.34x = 4,496,912.46
  5. Step 5: Solve for x
    x = 4,496,912.46/2,223.34
  6. Step 6: Final answer
    x = 2,022.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.