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Finding the Fourth Proportional to 2,601.63, 3,901.32 and 752.31

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Solution

The fourth proportional to 2,601.63, 3,901.32 and 752.31 is: 1,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.63 : 3,901.32 = 752.31 : x
  2. Step 2: Convert to fraction form
    2,601.63/3,901.32 = 752.31/x
  3. Step 3: Cross multiply
    2,601.63x = 3,901.32 × 752.31
  4. Step 4: Simplify right side
    2,601.63x = 2,935,002.05
  5. Step 5: Solve for x
    x = 2,935,002.05/2,601.63
  6. Step 6: Final answer
    x = 1,128.14

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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.