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Finding the Fourth Proportional to 2,274.24, 3,412.20 and 735.24

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Solution

The fourth proportional to 2,274.24, 3,412.20 and 735.24 is: 1,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.24 : 3,412.20 = 735.24 : x
  2. Step 2: Convert to fraction form
    2,274.24/3,412.20 = 735.24/x
  3. Step 3: Cross multiply
    2,274.24x = 3,412.20 × 735.24
  4. Step 4: Simplify right side
    2,274.24x = 2,508,785.93
  5. Step 5: Solve for x
    x = 2,508,785.93/2,274.24
  6. Step 6: Final answer
    x = 1,103.13

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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.