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Finding the Fourth Proportional to 3,069.77, 4,601.79 and 1,120.50

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Solution

The fourth proportional to 3,069.77, 4,601.79 and 1,120.50 is: 1,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.77 : 4,601.79 = 1,120.50 : x
  2. Step 2: Convert to fraction form
    3,069.77/4,601.79 = 1,120.50/x
  3. Step 3: Cross multiply
    3,069.77x = 4,601.79 × 1,120.50
  4. Step 4: Simplify right side
    3,069.77x = 5,156,305.70
  5. Step 5: Solve for x
    x = 5,156,305.70/3,069.77
  6. Step 6: Final answer
    x = 1,679.71

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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.