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Finding the Fourth Proportional to 2,224.08, 3,336.27 and 764.26

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Solution

The fourth proportional to 2,224.08, 3,336.27 and 764.26 is: 1,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.08 : 3,336.27 = 764.26 : x
  2. Step 2: Convert to fraction form
    2,224.08/3,336.27 = 764.26/x
  3. Step 3: Cross multiply
    2,224.08x = 3,336.27 × 764.26
  4. Step 4: Simplify right side
    2,224.08x = 2,549,769.37
  5. Step 5: Solve for x
    x = 2,549,769.37/2,224.08
  6. Step 6: Final answer
    x = 1,146.44

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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.