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Finding the Fourth Proportional to 3,071.36, 4,238.31 and 1,744.88

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Solution

The fourth proportional to 3,071.36, 4,238.31 and 1,744.88 is: 2,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.36 : 4,238.31 = 1,744.88 : x
  2. Step 2: Convert to fraction form
    3,071.36/4,238.31 = 1,744.88/x
  3. Step 3: Cross multiply
    3,071.36x = 4,238.31 × 1,744.88
  4. Step 4: Simplify right side
    3,071.36x = 7,395,321.16
  5. Step 5: Solve for x
    x = 7,395,321.16/3,071.36
  6. Step 6: Final answer
    x = 2,407.84

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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.