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Finding the Fourth Proportional to 3,261.76, 4,893 and 1,069.90

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Solution

The fourth proportional to 3,261.76, 4,893 and 1,069.90 is: 1,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.76 : 4,893 = 1,069.90 : x
  2. Step 2: Convert to fraction form
    3,261.76/4,893 = 1,069.90/x
  3. Step 3: Cross multiply
    3,261.76x = 4,893 × 1,069.90
  4. Step 4: Simplify right side
    3,261.76x = 5,235,020.70
  5. Step 5: Solve for x
    x = 5,235,020.70/3,261.76
  6. Step 6: Final answer
    x = 1,604.97

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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.