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Finding the Fourth Proportional to 3,058.72, 4,221.03 and 1,661.46

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Solution

The fourth proportional to 3,058.72, 4,221.03 and 1,661.46 is: 2,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.72 : 4,221.03 = 1,661.46 : x
  2. Step 2: Convert to fraction form
    3,058.72/4,221.03 = 1,661.46/x
  3. Step 3: Cross multiply
    3,058.72x = 4,221.03 × 1,661.46
  4. Step 4: Simplify right side
    3,058.72x = 7,013,072.50
  5. Step 5: Solve for x
    x = 7,013,072.50/3,058.72
  6. Step 6: Final answer
    x = 2,292.81

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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.