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Finding the Fourth Proportional to 3,261.62, 4,500.87 and 1,769.50

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Solution

The fourth proportional to 3,261.62, 4,500.87 and 1,769.50 is: 2,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.62 : 4,500.87 = 1,769.50 : x
  2. Step 2: Convert to fraction form
    3,261.62/4,500.87 = 1,769.50/x
  3. Step 3: Cross multiply
    3,261.62x = 4,500.87 × 1,769.50
  4. Step 4: Simplify right side
    3,261.62x = 7,964,263.14
  5. Step 5: Solve for x
    x = 7,964,263.14/3,261.62
  6. Step 6: Final answer
    x = 2,441.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.