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Finding the Fourth Proportional to 2,392.23, 3,587.22 and 911.51

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Solution

The fourth proportional to 2,392.23, 3,587.22 and 911.51 is: 1,366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.23 : 3,587.22 = 911.51 : x
  2. Step 2: Convert to fraction form
    2,392.23/3,587.22 = 911.51/x
  3. Step 3: Cross multiply
    2,392.23x = 3,587.22 × 911.51
  4. Step 4: Simplify right side
    2,392.23x = 3,269,768.97
  5. Step 5: Solve for x
    x = 3,269,768.97/2,392.23
  6. Step 6: Final answer
    x = 1,366.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.