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Finding the Fourth Proportional to 3,223.28, 4,835.04 and 914.78

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Solution

The fourth proportional to 3,223.28, 4,835.04 and 914.78 is: 1,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.28 : 4,835.04 = 914.78 : x
  2. Step 2: Convert to fraction form
    3,223.28/4,835.04 = 914.78/x
  3. Step 3: Cross multiply
    3,223.28x = 4,835.04 × 914.78
  4. Step 4: Simplify right side
    3,223.28x = 4,422,997.89
  5. Step 5: Solve for x
    x = 4,422,997.89/3,223.28
  6. Step 6: Final answer
    x = 1,372.20

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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.