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Finding the Fourth Proportional to 2,979.64, 4,469.74 and 1,224.24

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Solution

The fourth proportional to 2,979.64, 4,469.74 and 1,224.24 is: 1,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.64 : 4,469.74 = 1,224.24 : x
  2. Step 2: Convert to fraction form
    2,979.64/4,469.74 = 1,224.24/x
  3. Step 3: Cross multiply
    2,979.64x = 4,469.74 × 1,224.24
  4. Step 4: Simplify right side
    2,979.64x = 5,472,034.50
  5. Step 5: Solve for x
    x = 5,472,034.50/2,979.64
  6. Step 6: Final answer
    x = 1,836.48

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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.