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Finding the Fourth Proportional to 1,834.07, 2,751.57 and 739.67

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Solution

The fourth proportional to 1,834.07, 2,751.57 and 739.67 is: 1,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.07 : 2,751.57 = 739.67 : x
  2. Step 2: Convert to fraction form
    1,834.07/2,751.57 = 739.67/x
  3. Step 3: Cross multiply
    1,834.07x = 2,751.57 × 739.67
  4. Step 4: Simplify right side
    1,834.07x = 2,035,240.02
  5. Step 5: Solve for x
    x = 2,035,240.02/1,834.07
  6. Step 6: Final answer
    x = 1,109.69

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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.