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Finding the Fourth Proportional to 3,223.28, 4,834.92 and 914.72

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Solution

The fourth proportional to 3,223.28, 4,834.92 and 914.72 is: 1,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.28 : 4,834.92 = 914.72 : x
  2. Step 2: Convert to fraction form
    3,223.28/4,834.92 = 914.72/x
  3. Step 3: Cross multiply
    3,223.28x = 4,834.92 × 914.72
  4. Step 4: Simplify right side
    3,223.28x = 4,422,598.02
  5. Step 5: Solve for x
    x = 4,422,598.02/3,223.28
  6. Step 6: Final answer
    x = 1,372.08

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Similar ratio
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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.