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Finding the Fourth Proportional to 2,785.77, 4,179.11 and 937.05

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Solution

The fourth proportional to 2,785.77, 4,179.11 and 937.05 is: 1,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.77 : 4,179.11 = 937.05 : x
  2. Step 2: Convert to fraction form
    2,785.77/4,179.11 = 937.05/x
  3. Step 3: Cross multiply
    2,785.77x = 4,179.11 × 937.05
  4. Step 4: Simplify right side
    2,785.77x = 3,916,035.03
  5. Step 5: Solve for x
    x = 3,916,035.03/2,785.77
  6. Step 6: Final answer
    x = 1,405.73

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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.