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Finding the Fourth Proportional to 2,767.17, 4,149.91 and 792.67

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Solution

The fourth proportional to 2,767.17, 4,149.91 and 792.67 is: 1,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.17 : 4,149.91 = 792.67 : x
  2. Step 2: Convert to fraction form
    2,767.17/4,149.91 = 792.67/x
  3. Step 3: Cross multiply
    2,767.17x = 4,149.91 × 792.67
  4. Step 4: Simplify right side
    2,767.17x = 3,289,509.16
  5. Step 5: Solve for x
    x = 3,289,509.16/2,767.17
  6. Step 6: Final answer
    x = 1,188.76

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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.