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Finding the Fourth Proportional to 3,105.67, 4,656.90 and 914.12

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Solution

The fourth proportional to 3,105.67, 4,656.90 and 914.12 is: 1,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.67 : 4,656.90 = 914.12 : x
  2. Step 2: Convert to fraction form
    3,105.67/4,656.90 = 914.12/x
  3. Step 3: Cross multiply
    3,105.67x = 4,656.90 × 914.12
  4. Step 4: Simplify right side
    3,105.67x = 4,256,942.14
  5. Step 5: Solve for x
    x = 4,256,942.14/3,105.67
  6. Step 6: Final answer
    x = 1,370.70

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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.