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Finding the Fourth Proportional to 2,616.09, 3,924.74 and 767.22

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Solution

The fourth proportional to 2,616.09, 3,924.74 and 767.22 is: 1,151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.09 : 3,924.74 = 767.22 : x
  2. Step 2: Convert to fraction form
    2,616.09/3,924.74 = 767.22/x
  3. Step 3: Cross multiply
    2,616.09x = 3,924.74 × 767.22
  4. Step 4: Simplify right side
    2,616.09x = 3,011,135.19
  5. Step 5: Solve for x
    x = 3,011,135.19/2,616.09
  6. Step 6: Final answer
    x = 1,151.01

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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.