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Finding the Fourth Proportional to 3,058.92, 4,221.23 and 1,661.67

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Solution

The fourth proportional to 3,058.92, 4,221.23 and 1,661.67 is: 2,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.92 : 4,221.23 = 1,661.67 : x
  2. Step 2: Convert to fraction form
    3,058.92/4,221.23 = 1,661.67/x
  3. Step 3: Cross multiply
    3,058.92x = 4,221.23 × 1,661.67
  4. Step 4: Simplify right side
    3,058.92x = 7,014,282.95
  5. Step 5: Solve for x
    x = 7,014,282.95/3,058.92
  6. Step 6: Final answer
    x = 2,293.06

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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.