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Finding the Fourth Proportional to 2,245.86, 3,367.71 and 764.55

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Solution

The fourth proportional to 2,245.86, 3,367.71 and 764.55 is: 1,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.86 : 3,367.71 = 764.55 : x
  2. Step 2: Convert to fraction form
    2,245.86/3,367.71 = 764.55/x
  3. Step 3: Cross multiply
    2,245.86x = 3,367.71 × 764.55
  4. Step 4: Simplify right side
    2,245.86x = 2,574,782.68
  5. Step 5: Solve for x
    x = 2,574,782.68/2,245.86
  6. Step 6: Final answer
    x = 1,146.46

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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.