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Finding the Fourth Proportional to 2,059.97, 3,087.53 and 759.92

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Solution

The fourth proportional to 2,059.97, 3,087.53 and 759.92 is: 1,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.97 : 3,087.53 = 759.92 : x
  2. Step 2: Convert to fraction form
    2,059.97/3,087.53 = 759.92/x
  3. Step 3: Cross multiply
    2,059.97x = 3,087.53 × 759.92
  4. Step 4: Simplify right side
    2,059.97x = 2,346,279.72
  5. Step 5: Solve for x
    x = 2,346,279.72/2,059.97
  6. Step 6: Final answer
    x = 1,138.99

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1.5x scale

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.