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Finding the Fourth Proportional to 2,601.33, 3,900.17 and 957.66

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Solution

The fourth proportional to 2,601.33, 3,900.17 and 957.66 is: 1,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.33 : 3,900.17 = 957.66 : x
  2. Step 2: Convert to fraction form
    2,601.33/3,900.17 = 957.66/x
  3. Step 3: Cross multiply
    2,601.33x = 3,900.17 × 957.66
  4. Step 4: Simplify right side
    2,601.33x = 3,735,012.51
  5. Step 5: Solve for x
    x = 3,735,012.51/2,601.33
  6. Step 6: Final answer
    x = 1,435.81

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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.