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Finding the Fourth Proportional to 2,007.94, 3,010.62 and 965.87

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Solution

The fourth proportional to 2,007.94, 3,010.62 and 965.87 is: 1,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.94 : 3,010.62 = 965.87 : x
  2. Step 2: Convert to fraction form
    2,007.94/3,010.62 = 965.87/x
  3. Step 3: Cross multiply
    2,007.94x = 3,010.62 × 965.87
  4. Step 4: Simplify right side
    2,007.94x = 2,907,867.54
  5. Step 5: Solve for x
    x = 2,907,867.54/2,007.94
  6. Step 6: Final answer
    x = 1,448.18

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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.