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Finding the Fourth Proportional to 1,651.93, 2,480.09 and 959.09

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Solution

The fourth proportional to 1,651.93, 2,480.09 and 959.09 is: 1,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.93 : 2,480.09 = 959.09 : x
  2. Step 2: Convert to fraction form
    1,651.93/2,480.09 = 959.09/x
  3. Step 3: Cross multiply
    1,651.93x = 2,480.09 × 959.09
  4. Step 4: Simplify right side
    1,651.93x = 2,378,629.52
  5. Step 5: Solve for x
    x = 2,378,629.52/1,651.93
  6. Step 6: Final answer
    x = 1,439.91

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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.