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Finding the Fourth Proportional to 3,260.28, 4,891.14 and 1,069.14

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Solution

The fourth proportional to 3,260.28, 4,891.14 and 1,069.14 is: 1,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.28 : 4,891.14 = 1,069.14 : x
  2. Step 2: Convert to fraction form
    3,260.28/4,891.14 = 1,069.14/x
  3. Step 3: Cross multiply
    3,260.28x = 4,891.14 × 1,069.14
  4. Step 4: Simplify right side
    3,260.28x = 5,229,313.42
  5. Step 5: Solve for x
    x = 5,229,313.42/3,260.28
  6. Step 6: Final answer
    x = 1,603.95

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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.