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Finding the Fourth Proportional to 2,707.28, 4,067.38 and 1,735.28

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Solution

The fourth proportional to 2,707.28, 4,067.38 and 1,735.28 is: 2,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.28 : 4,067.38 = 1,735.28 : x
  2. Step 2: Convert to fraction form
    2,707.28/4,067.38 = 1,735.28/x
  3. Step 3: Cross multiply
    2,707.28x = 4,067.38 × 1,735.28
  4. Step 4: Simplify right side
    2,707.28x = 7,058,043.17
  5. Step 5: Solve for x
    x = 7,058,043.17/2,707.28
  6. Step 6: Final answer
    x = 2,607.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.