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Finding the Fourth Proportional to 2,059.20, 3,087.36 and 759.36

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Solution

The fourth proportional to 2,059.20, 3,087.36 and 759.36 is: 1,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.20 : 3,087.36 = 759.36 : x
  2. Step 2: Convert to fraction form
    2,059.20/3,087.36 = 759.36/x
  3. Step 3: Cross multiply
    2,059.20x = 3,087.36 × 759.36
  4. Step 4: Simplify right side
    2,059.20x = 2,344,417.69
  5. Step 5: Solve for x
    x = 2,344,417.69/2,059.20
  6. Step 6: Final answer
    x = 1,138.51

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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.