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Finding the Fourth Proportional to 2,225.26, 3,336.07 and 764.43

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Solution

The fourth proportional to 2,225.26, 3,336.07 and 764.43 is: 1,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.26 : 3,336.07 = 764.43 : x
  2. Step 2: Convert to fraction form
    2,225.26/3,336.07 = 764.43/x
  3. Step 3: Cross multiply
    2,225.26x = 3,336.07 × 764.43
  4. Step 4: Simplify right side
    2,225.26x = 2,550,191.99
  5. Step 5: Solve for x
    x = 2,550,191.99/2,225.26
  6. Step 6: Final answer
    x = 1,146.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.