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Finding the Fourth Proportional to 2,209.05, 3,313.76 and 627.76

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Solution

The fourth proportional to 2,209.05, 3,313.76 and 627.76 is: 941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.05 : 3,313.76 = 627.76 : x
  2. Step 2: Convert to fraction form
    2,209.05/3,313.76 = 627.76/x
  3. Step 3: Cross multiply
    2,209.05x = 3,313.76 × 627.76
  4. Step 4: Simplify right side
    2,209.05x = 2,080,234.55
  5. Step 5: Solve for x
    x = 2,080,234.55/2,209.05
  6. Step 6: Final answer
    x = 941.69

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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.