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Finding the Fourth Proportional to 2,310.98, 3,467.99 and 850.14

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Solution

The fourth proportional to 2,310.98, 3,467.99 and 850.14 is: 1,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.98 : 3,467.99 = 850.14 : x
  2. Step 2: Convert to fraction form
    2,310.98/3,467.99 = 850.14/x
  3. Step 3: Cross multiply
    2,310.98x = 3,467.99 × 850.14
  4. Step 4: Simplify right side
    2,310.98x = 2,948,277.02
  5. Step 5: Solve for x
    x = 2,948,277.02/2,310.98
  6. Step 6: Final answer
    x = 1,275.77

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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.