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Finding the Fourth Proportional to 2,244.80, 3,365.94 and 1,723.50

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Solution

The fourth proportional to 2,244.80, 3,365.94 and 1,723.50 is: 2,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.80 : 3,365.94 = 1,723.50 : x
  2. Step 2: Convert to fraction form
    2,244.80/3,365.94 = 1,723.50/x
  3. Step 3: Cross multiply
    2,244.80x = 3,365.94 × 1,723.50
  4. Step 4: Simplify right side
    2,244.80x = 5,801,197.59
  5. Step 5: Solve for x
    x = 5,801,197.59/2,244.80
  6. Step 6: Final answer
    x = 2,584.28

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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.