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Finding the Fourth Proportional to 3,071.06, 4,238.15 and 1,744.78

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Solution

The fourth proportional to 3,071.06, 4,238.15 and 1,744.78 is: 2,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.06 : 4,238.15 = 1,744.78 : x
  2. Step 2: Convert to fraction form
    3,071.06/4,238.15 = 1,744.78/x
  3. Step 3: Cross multiply
    3,071.06x = 4,238.15 × 1,744.78
  4. Step 4: Simplify right side
    3,071.06x = 7,394,620.04
  5. Step 5: Solve for x
    x = 7,394,620.04/3,071.06
  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.