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Finding the Fourth Proportional to 3,071.16, 4,238.06 and 1,744.68

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Solution

The fourth proportional to 3,071.16, 4,238.06 and 1,744.68 is: 2,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.16 : 4,238.06 = 1,744.68 : x
  2. Step 2: Convert to fraction form
    3,071.16/4,238.06 = 1,744.68/x
  3. Step 3: Cross multiply
    3,071.16x = 4,238.06 × 1,744.68
  4. Step 4: Simplify right side
    3,071.16x = 7,394,058.52
  5. Step 5: Solve for x
    x = 7,394,058.52/3,071.16
  6. Step 6: Final answer
    x = 2,407.58

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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.