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Finding the Fourth Proportional to 2,716.07, 4,073.64 and 767.81

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Solution

The fourth proportional to 2,716.07, 4,073.64 and 767.81 is: 1,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.07 : 4,073.64 = 767.81 : x
  2. Step 2: Convert to fraction form
    2,716.07/4,073.64 = 767.81/x
  3. Step 3: Cross multiply
    2,716.07x = 4,073.64 × 767.81
  4. Step 4: Simplify right side
    2,716.07x = 3,127,793.15
  5. Step 5: Solve for x
    x = 3,127,793.15/2,716.07
  6. Step 6: Final answer
    x = 1,151.59

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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.