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Finding the Fourth Proportional to 2,637.25, 3,944.23 and 2,346.78

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Solution

The fourth proportional to 2,637.25, 3,944.23 and 2,346.78 is: 3,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.25 : 3,944.23 = 2,346.78 : x
  2. Step 2: Convert to fraction form
    2,637.25/3,944.23 = 2,346.78/x
  3. Step 3: Cross multiply
    2,637.25x = 3,944.23 × 2,346.78
  4. Step 4: Simplify right side
    2,637.25x = 9,256,249.00
  5. Step 5: Solve for x
    x = 9,256,249.00/2,637.25
  6. Step 6: Final answer
    x = 3,509.81

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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.