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Finding the Fourth Proportional to 2,849.97, 3,928.64 and 2,219.39

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Solution

The fourth proportional to 2,849.97, 3,928.64 and 2,219.39 is: 3,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.97 : 3,928.64 = 2,219.39 : x
  2. Step 2: Convert to fraction form
    2,849.97/3,928.64 = 2,219.39/x
  3. Step 3: Cross multiply
    2,849.97x = 3,928.64 × 2,219.39
  4. Step 4: Simplify right side
    2,849.97x = 8,719,164.69
  5. Step 5: Solve for x
    x = 8,719,164.69/2,849.97
  6. Step 6: Final answer
    x = 3,059.39

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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.