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Finding the Fourth Proportional to 2,215.98, 3,058.07 and 1,221.29

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Solution

The fourth proportional to 2,215.98, 3,058.07 and 1,221.29 is: 1,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.98 : 3,058.07 = 1,221.29 : x
  2. Step 2: Convert to fraction form
    2,215.98/3,058.07 = 1,221.29/x
  3. Step 3: Cross multiply
    2,215.98x = 3,058.07 × 1,221.29
  4. Step 4: Simplify right side
    2,215.98x = 3,734,790.31
  5. Step 5: Solve for x
    x = 3,734,790.31/2,215.98
  6. Step 6: Final answer
    x = 1,685.39

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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.