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Finding the Fourth Proportional to 2,219.32, 3,327.90 and 757.45

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Solution

The fourth proportional to 2,219.32, 3,327.90 and 757.45 is: 1,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.32 : 3,327.90 = 757.45 : x
  2. Step 2: Convert to fraction form
    2,219.32/3,327.90 = 757.45/x
  3. Step 3: Cross multiply
    2,219.32x = 3,327.90 × 757.45
  4. Step 4: Simplify right side
    2,219.32x = 2,520,717.86
  5. Step 5: Solve for x
    x = 2,520,717.86/2,219.32
  6. Step 6: Final answer
    x = 1,135.81

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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.