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Finding the Fourth Proportional to 2,224.70, 3,069.99 and 1,385.34

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Solution

The fourth proportional to 2,224.70, 3,069.99 and 1,385.34 is: 1,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.70 : 3,069.99 = 1,385.34 : x
  2. Step 2: Convert to fraction form
    2,224.70/3,069.99 = 1,385.34/x
  3. Step 3: Cross multiply
    2,224.70x = 3,069.99 × 1,385.34
  4. Step 4: Simplify right side
    2,224.70x = 4,252,979.95
  5. Step 5: Solve for x
    x = 4,252,979.95/2,224.70
  6. Step 6: Final answer
    x = 1,911.71

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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.