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Finding the Fourth Proportional to 3,105.95, 4,658.97 and 914.90

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Solution

The fourth proportional to 3,105.95, 4,658.97 and 914.90 is: 1,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.95 : 4,658.97 = 914.90 : x
  2. Step 2: Convert to fraction form
    3,105.95/4,658.97 = 914.90/x
  3. Step 3: Cross multiply
    3,105.95x = 4,658.97 × 914.90
  4. Step 4: Simplify right side
    3,105.95x = 4,262,466.64
  5. Step 5: Solve for x
    x = 4,262,466.64/3,105.95
  6. Step 6: Final answer
    x = 1,372.36

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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.