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Finding the Fourth Proportional to 2,785.92, 4,176.90 and 1,398.27

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Solution

The fourth proportional to 2,785.92, 4,176.90 and 1,398.27 is: 2,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.92 : 4,176.90 = 1,398.27 : x
  2. Step 2: Convert to fraction form
    2,785.92/4,176.90 = 1,398.27/x
  3. Step 3: Cross multiply
    2,785.92x = 4,176.90 × 1,398.27
  4. Step 4: Simplify right side
    2,785.92x = 5,840,433.96
  5. Step 5: Solve for x
    x = 5,840,433.96/2,785.92
  6. Step 6: Final answer
    x = 2,096.41

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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.