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Finding the Fourth Proportional to 3,058.74, 4,221.06 and 1,661.49

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Solution

The fourth proportional to 3,058.74, 4,221.06 and 1,661.49 is: 2,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.74 : 4,221.06 = 1,661.49 : x
  2. Step 2: Convert to fraction form
    3,058.74/4,221.06 = 1,661.49/x
  3. Step 3: Cross multiply
    3,058.74x = 4,221.06 × 1,661.49
  4. Step 4: Simplify right side
    3,058.74x = 7,013,248.98
  5. Step 5: Solve for x
    x = 7,013,248.98/3,058.74
  6. Step 6: Final answer
    x = 2,292.86

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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.