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Finding the Fourth Proportional to 2,151.56, 3,226.74 and 764.72

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Solution

The fourth proportional to 2,151.56, 3,226.74 and 764.72 is: 1,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.56 : 3,226.74 = 764.72 : x
  2. Step 2: Convert to fraction form
    2,151.56/3,226.74 = 764.72/x
  3. Step 3: Cross multiply
    2,151.56x = 3,226.74 × 764.72
  4. Step 4: Simplify right side
    2,151.56x = 2,467,552.61
  5. Step 5: Solve for x
    x = 2,467,552.61/2,151.56
  6. Step 6: Final answer
    x = 1,146.87

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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.