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Finding the Fourth Proportional to 2,037.92, 3,054.56 and 939.96

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Solution

The fourth proportional to 2,037.92, 3,054.56 and 939.96 is: 1,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.92 : 3,054.56 = 939.96 : x
  2. Step 2: Convert to fraction form
    2,037.92/3,054.56 = 939.96/x
  3. Step 3: Cross multiply
    2,037.92x = 3,054.56 × 939.96
  4. Step 4: Simplify right side
    2,037.92x = 2,871,159.52
  5. Step 5: Solve for x
    x = 2,871,159.52/2,037.92
  6. Step 6: Final answer
    x = 1,408.87

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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.