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Finding the Fourth Proportional to 2,797.96, 4,198.15 and 1,411.04

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Solution

The fourth proportional to 2,797.96, 4,198.15 and 1,411.04 is: 2,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.96 : 4,198.15 = 1,411.04 : x
  2. Step 2: Convert to fraction form
    2,797.96/4,198.15 = 1,411.04/x
  3. Step 3: Cross multiply
    2,797.96x = 4,198.15 × 1,411.04
  4. Step 4: Simplify right side
    2,797.96x = 5,923,733.06
  5. Step 5: Solve for x
    x = 5,923,733.06/2,797.96
  6. Step 6: Final answer
    x = 2,117.16

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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.