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Finding the Fourth Proportional to 3,058.42, 4,220.54 and 1,661.17

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Solution

The fourth proportional to 3,058.42, 4,220.54 and 1,661.17 is: 2,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.42 : 4,220.54 = 1,661.17 : x
  2. Step 2: Convert to fraction form
    3,058.42/4,220.54 = 1,661.17/x
  3. Step 3: Cross multiply
    3,058.42x = 4,220.54 × 1,661.17
  4. Step 4: Simplify right side
    3,058.42x = 7,011,026.13
  5. Step 5: Solve for x
    x = 7,011,026.13/3,058.42
  6. Step 6: Final answer
    x = 2,292.37

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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.