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Finding the Fourth Proportional to 3,058.39, 4,220.49 and 1,732.22

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Solution

The fourth proportional to 3,058.39, 4,220.49 and 1,732.22 is: 2,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.39 : 4,220.49 = 1,732.22 : x
  2. Step 2: Convert to fraction form
    3,058.39/4,220.49 = 1,732.22/x
  3. Step 3: Cross multiply
    3,058.39x = 4,220.49 × 1,732.22
  4. Step 4: Simplify right side
    3,058.39x = 7,310,817.19
  5. Step 5: Solve for x
    x = 7,310,817.19/3,058.39
  6. Step 6: Final answer
    x = 2,390.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.