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Finding the Fourth Proportional to 2,066.07, 3,097.66 and 767.19

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Solution

The fourth proportional to 2,066.07, 3,097.66 and 767.19 is: 1,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.07 : 3,097.66 = 767.19 : x
  2. Step 2: Convert to fraction form
    2,066.07/3,097.66 = 767.19/x
  3. Step 3: Cross multiply
    2,066.07x = 3,097.66 × 767.19
  4. Step 4: Simplify right side
    2,066.07x = 2,376,493.78
  5. Step 5: Solve for x
    x = 2,376,493.78/2,066.07
  6. Step 6: Final answer
    x = 1,150.25

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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.