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Finding the Fourth Proportional to 2,077.97, 2,866.13 and 1,238.03

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Solution

The fourth proportional to 2,077.97, 2,866.13 and 1,238.03 is: 1,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.97 : 2,866.13 = 1,238.03 : x
  2. Step 2: Convert to fraction form
    2,077.97/2,866.13 = 1,238.03/x
  3. Step 3: Cross multiply
    2,077.97x = 2,866.13 × 1,238.03
  4. Step 4: Simplify right side
    2,077.97x = 3,548,334.40
  5. Step 5: Solve for x
    x = 3,548,334.40/2,077.97
  6. Step 6: Final answer
    x = 1,707.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.