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Finding the Fourth Proportional to 2,601.17, 3,900.90 and 1,301.75

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Solution

The fourth proportional to 2,601.17, 3,900.90 and 1,301.75 is: 1,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.17 : 3,900.90 = 1,301.75 : x
  2. Step 2: Convert to fraction form
    2,601.17/3,900.90 = 1,301.75/x
  3. Step 3: Cross multiply
    2,601.17x = 3,900.90 × 1,301.75
  4. Step 4: Simplify right side
    2,601.17x = 5,077,996.58
  5. Step 5: Solve for x
    x = 5,077,996.58/2,601.17
  6. Step 6: Final answer
    x = 1,952.20

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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.