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Finding the Fourth Proportional to 2,224.77, 3,069.38 and 1,340.85

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Solution

The fourth proportional to 2,224.77, 3,069.38 and 1,340.85 is: 1,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.77 : 3,069.38 = 1,340.85 : x
  2. Step 2: Convert to fraction form
    2,224.77/3,069.38 = 1,340.85/x
  3. Step 3: Cross multiply
    2,224.77x = 3,069.38 × 1,340.85
  4. Step 4: Simplify right side
    2,224.77x = 4,115,571.47
  5. Step 5: Solve for x
    x = 4,115,571.47/2,224.77
  6. Step 6: Final answer
    x = 1,849.89

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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.