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Finding the Fourth Proportional to 2,767.97, 3,819.66 and 2,058.41

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Solution

The fourth proportional to 2,767.97, 3,819.66 and 2,058.41 is: 2,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.97 : 3,819.66 = 2,058.41 : x
  2. Step 2: Convert to fraction form
    2,767.97/3,819.66 = 2,058.41/x
  3. Step 3: Cross multiply
    2,767.97x = 3,819.66 × 2,058.41
  4. Step 4: Simplify right side
    2,767.97x = 7,862,428.17
  5. Step 5: Solve for x
    x = 7,862,428.17/2,767.97
  6. Step 6: Final answer
    x = 2,840.50

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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.