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Finding the Fourth Proportional to 2,063.82, 3,078.33 and 2,002.26

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Solution

The fourth proportional to 2,063.82, 3,078.33 and 2,002.26 is: 2,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.82 : 3,078.33 = 2,002.26 : x
  2. Step 2: Convert to fraction form
    2,063.82/3,078.33 = 2,002.26/x
  3. Step 3: Cross multiply
    2,063.82x = 3,078.33 × 2,002.26
  4. Step 4: Simplify right side
    2,063.82x = 6,163,617.03
  5. Step 5: Solve for x
    x = 6,163,617.03/2,063.82
  6. Step 6: Final answer
    x = 2,986.51

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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.