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Finding the Fourth Proportional to 2,236.24, 3,354.36 and 774.60

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Solution

The fourth proportional to 2,236.24, 3,354.36 and 774.60 is: 1,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.24 : 3,354.36 = 774.60 : x
  2. Step 2: Convert to fraction form
    2,236.24/3,354.36 = 774.60/x
  3. Step 3: Cross multiply
    2,236.24x = 3,354.36 × 774.60
  4. Step 4: Simplify right side
    2,236.24x = 2,598,287.26
  5. Step 5: Solve for x
    x = 2,598,287.26/2,236.24
  6. Step 6: Final answer
    x = 1,161.90

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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.