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Finding the Fourth Proportional to 3,058.49, 4,220.71 and 1,661.24

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Solution

The fourth proportional to 3,058.49, 4,220.71 and 1,661.24 is: 2,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.49 : 4,220.71 = 1,661.24 : x
  2. Step 2: Convert to fraction form
    3,058.49/4,220.71 = 1,661.24/x
  3. Step 3: Cross multiply
    3,058.49x = 4,220.71 × 1,661.24
  4. Step 4: Simplify right side
    3,058.49x = 7,011,591.18
  5. Step 5: Solve for x
    x = 7,011,591.18/3,058.49
  6. Step 6: Final answer
    x = 2,292.50

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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.