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Finding the Fourth Proportional to 2,836.78, 3,913.40 and 2,443.12

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Solution

The fourth proportional to 2,836.78, 3,913.40 and 2,443.12 is: 3,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.78 : 3,913.40 = 2,443.12 : x
  2. Step 2: Convert to fraction form
    2,836.78/3,913.40 = 2,443.12/x
  3. Step 3: Cross multiply
    2,836.78x = 3,913.40 × 2,443.12
  4. Step 4: Simplify right side
    2,836.78x = 9,560,905.81
  5. Step 5: Solve for x
    x = 9,560,905.81/2,836.78
  6. Step 6: Final answer
    x = 3,370.34

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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.