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Finding the Fourth Proportional to 3,049.12, 4,573.84 and 969.28

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Solution

The fourth proportional to 3,049.12, 4,573.84 and 969.28 is: 1,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.12 : 4,573.84 = 969.28 : x
  2. Step 2: Convert to fraction form
    3,049.12/4,573.84 = 969.28/x
  3. Step 3: Cross multiply
    3,049.12x = 4,573.84 × 969.28
  4. Step 4: Simplify right side
    3,049.12x = 4,433,331.64
  5. Step 5: Solve for x
    x = 4,433,331.64/3,049.12
  6. Step 6: Final answer
    x = 1,453.97

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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.