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Finding the Fourth Proportional to 3,007.67, 4,516.29 and 1,277.51

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Solution

The fourth proportional to 3,007.67, 4,516.29 and 1,277.51 is: 1,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.67 : 4,516.29 = 1,277.51 : x
  2. Step 2: Convert to fraction form
    3,007.67/4,516.29 = 1,277.51/x
  3. Step 3: Cross multiply
    3,007.67x = 4,516.29 × 1,277.51
  4. Step 4: Simplify right side
    3,007.67x = 5,769,583.06
  5. Step 5: Solve for x
    x = 5,769,583.06/3,007.67
  6. Step 6: Final answer
    x = 1,918.29

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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.