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Finding the Fourth Proportional to 2,797.72, 4,193.76 and 1,406.86

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Solution

The fourth proportional to 2,797.72, 4,193.76 and 1,406.86 is: 2,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.72 : 4,193.76 = 1,406.86 : x
  2. Step 2: Convert to fraction form
    2,797.72/4,193.76 = 1,406.86/x
  3. Step 3: Cross multiply
    2,797.72x = 4,193.76 × 1,406.86
  4. Step 4: Simplify right side
    2,797.72x = 5,900,033.19
  5. Step 5: Solve for x
    x = 5,900,033.19/2,797.72
  6. Step 6: Final answer
    x = 2,108.87

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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.