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Finding the Fourth Proportional to 2,260.62, 3,388.95 and 1,164.42

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Solution

The fourth proportional to 2,260.62, 3,388.95 and 1,164.42 is: 1,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.62 : 3,388.95 = 1,164.42 : x
  2. Step 2: Convert to fraction form
    2,260.62/3,388.95 = 1,164.42/x
  3. Step 3: Cross multiply
    2,260.62x = 3,388.95 × 1,164.42
  4. Step 4: Simplify right side
    2,260.62x = 3,946,161.16
  5. Step 5: Solve for x
    x = 3,946,161.16/2,260.62
  6. Step 6: Final answer
    x = 1,745.61

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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.