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Finding the Fourth Proportional to 3,071.82, 4,239.44 and 1,745.65

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Solution

The fourth proportional to 3,071.82, 4,239.44 and 1,745.65 is: 2,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.82 : 4,239.44 = 1,745.65 : x
  2. Step 2: Convert to fraction form
    3,071.82/4,239.44 = 1,745.65/x
  3. Step 3: Cross multiply
    3,071.82x = 4,239.44 × 1,745.65
  4. Step 4: Simplify right side
    3,071.82x = 7,400,581.55
  5. Step 5: Solve for x
    x = 7,400,581.55/3,071.82
  6. Step 6: Final answer
    x = 2,409.18

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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.