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Finding the Fourth Proportional to 2,748.24, 4,122.38 and 696.24

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Solution

The fourth proportional to 2,748.24, 4,122.38 and 696.24 is: 1,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.24 : 4,122.38 = 696.24 : x
  2. Step 2: Convert to fraction form
    2,748.24/4,122.38 = 696.24/x
  3. Step 3: Cross multiply
    2,748.24x = 4,122.38 × 696.24
  4. Step 4: Simplify right side
    2,748.24x = 2,870,165.85
  5. Step 5: Solve for x
    x = 2,870,165.85/2,748.24
  6. Step 6: Final answer
    x = 1,044.37

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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.