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Finding the Fourth Proportional to 7,190.93, 10,786.38 and 2,261

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Solution

The fourth proportional to 7,190.93, 10,786.38 and 2,261 is: 3,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.93 : 10,786.38 = 2,261 : x
  2. Step 2: Convert to fraction form
    7,190.93/10,786.38 = 2,261/x
  3. Step 3: Cross multiply
    7,190.93x = 10,786.38 × 2,261
  4. Step 4: Simplify right side
    7,190.93x = 24,388,005.18
  5. Step 5: Solve for x
    x = 24,388,005.18/7,190.93
  6. Step 6: Final answer
    x = 3,391.50

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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.