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Finding the Fourth Proportional to 2,304.92, 3,439.66 and 2,058.88

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Solution

The fourth proportional to 2,304.92, 3,439.66 and 2,058.88 is: 3,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.92 : 3,439.66 = 2,058.88 : x
  2. Step 2: Convert to fraction form
    2,304.92/3,439.66 = 2,058.88/x
  3. Step 3: Cross multiply
    2,304.92x = 3,439.66 × 2,058.88
  4. Step 4: Simplify right side
    2,304.92x = 7,081,847.18
  5. Step 5: Solve for x
    x = 7,081,847.18/2,304.92
  6. Step 6: Final answer
    x = 3,072.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.