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Finding the Fourth Proportional to 2,788.44, 4,163.07 and 2,302.44

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Solution

The fourth proportional to 2,788.44, 4,163.07 and 2,302.44 is: 3,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.44 : 4,163.07 = 2,302.44 : x
  2. Step 2: Convert to fraction form
    2,788.44/4,163.07 = 2,302.44/x
  3. Step 3: Cross multiply
    2,788.44x = 4,163.07 × 2,302.44
  4. Step 4: Simplify right side
    2,788.44x = 9,585,218.89
  5. Step 5: Solve for x
    x = 9,585,218.89/2,788.44
  6. Step 6: Final answer
    x = 3,437.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.