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Finding the Fourth Proportional to 2,059.07, 3,088.17 and 759.65

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Solution

The fourth proportional to 2,059.07, 3,088.17 and 759.65 is: 1,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.07 : 3,088.17 = 759.65 : x
  2. Step 2: Convert to fraction form
    2,059.07/3,088.17 = 759.65/x
  3. Step 3: Cross multiply
    2,059.07x = 3,088.17 × 759.65
  4. Step 4: Simplify right side
    2,059.07x = 2,345,912.90
  5. Step 5: Solve for x
    x = 2,345,912.90/2,059.07
  6. Step 6: Final answer
    x = 1,139.31

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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.