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Finding the Fourth Proportional to 2,188.88, 3,286.20 and 2,007.76

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Solution

The fourth proportional to 2,188.88, 3,286.20 and 2,007.76 is: 3,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.88 : 3,286.20 = 2,007.76 : x
  2. Step 2: Convert to fraction form
    2,188.88/3,286.20 = 2,007.76/x
  3. Step 3: Cross multiply
    2,188.88x = 3,286.20 × 2,007.76
  4. Step 4: Simplify right side
    2,188.88x = 6,597,900.91
  5. Step 5: Solve for x
    x = 6,597,900.91/2,188.88
  6. Step 6: Final answer
    x = 3,014.28

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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.