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Finding the Fourth Proportional to 3,071.34, 4,238.31 and 1,744.86

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Solution

The fourth proportional to 3,071.34, 4,238.31 and 1,744.86 is: 2,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.34 : 4,238.31 = 1,744.86 : x
  2. Step 2: Convert to fraction form
    3,071.34/4,238.31 = 1,744.86/x
  3. Step 3: Cross multiply
    3,071.34x = 4,238.31 × 1,744.86
  4. Step 4: Simplify right side
    3,071.34x = 7,395,257.59
  5. Step 5: Solve for x
    x = 7,395,257.59/3,071.34
  6. Step 6: Final answer
    x = 2,407.83

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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.