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Finding the Fourth Proportional to 7,726.50, 11,590.20 and 2,180.31

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Solution

The fourth proportional to 7,726.50, 11,590.20 and 2,180.31 is: 3,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.50 : 11,590.20 = 2,180.31 : x
  2. Step 2: Convert to fraction form
    7,726.50/11,590.20 = 2,180.31/x
  3. Step 3: Cross multiply
    7,726.50x = 11,590.20 × 2,180.31
  4. Step 4: Simplify right side
    7,726.50x = 25,270,228.96
  5. Step 5: Solve for x
    x = 25,270,228.96/7,726.50
  6. Step 6: Final answer
    x = 3,270.59

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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.