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Finding the Fourth Proportional to 2,462.14, 3,694.61 and 901.93

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Solution

The fourth proportional to 2,462.14, 3,694.61 and 901.93 is: 1,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.14 : 3,694.61 = 901.93 : x
  2. Step 2: Convert to fraction form
    2,462.14/3,694.61 = 901.93/x
  3. Step 3: Cross multiply
    2,462.14x = 3,694.61 × 901.93
  4. Step 4: Simplify right side
    2,462.14x = 3,332,279.60
  5. Step 5: Solve for x
    x = 3,332,279.60/2,462.14
  6. Step 6: Final answer
    x = 1,353.41

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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.