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Finding the Fourth Proportional to 3,224.30, 4,836.44 and 884.30

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Solution

The fourth proportional to 3,224.30, 4,836.44 and 884.30 is: 1,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.30 : 4,836.44 = 884.30 : x
  2. Step 2: Convert to fraction form
    3,224.30/4,836.44 = 884.30/x
  3. Step 3: Cross multiply
    3,224.30x = 4,836.44 × 884.30
  4. Step 4: Simplify right side
    3,224.30x = 4,276,835.29
  5. Step 5: Solve for x
    x = 4,276,835.29/3,224.30
  6. Step 6: Final answer
    x = 1,326.44

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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.