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Finding the Fourth Proportional to 2,601.57, 3,901.78 and 752.28

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Solution

The fourth proportional to 2,601.57, 3,901.78 and 752.28 is: 1,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.57 : 3,901.78 = 752.28 : x
  2. Step 2: Convert to fraction form
    2,601.57/3,901.78 = 752.28/x
  3. Step 3: Cross multiply
    2,601.57x = 3,901.78 × 752.28
  4. Step 4: Simplify right side
    2,601.57x = 2,935,231.06
  5. Step 5: Solve for x
    x = 2,935,231.06/2,601.57
  6. Step 6: Final answer
    x = 1,128.25

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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.