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Finding the Fourth Proportional to 2,207.68, 3,311.84 and 909.44

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Solution

The fourth proportional to 2,207.68, 3,311.84 and 909.44 is: 1,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.68 : 3,311.84 = 909.44 : x
  2. Step 2: Convert to fraction form
    2,207.68/3,311.84 = 909.44/x
  3. Step 3: Cross multiply
    2,207.68x = 3,311.84 × 909.44
  4. Step 4: Simplify right side
    2,207.68x = 3,011,919.77
  5. Step 5: Solve for x
    x = 3,011,919.77/2,207.68
  6. Step 6: Final answer
    x = 1,364.29

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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.