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Finding the Fourth Proportional to 2,697.27, 3,713.52 and 2,099.04

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Solution

The fourth proportional to 2,697.27, 3,713.52 and 2,099.04 is: 2,889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.27 : 3,713.52 = 2,099.04 : x
  2. Step 2: Convert to fraction form
    2,697.27/3,713.52 = 2,099.04/x
  3. Step 3: Cross multiply
    2,697.27x = 3,713.52 × 2,099.04
  4. Step 4: Simplify right side
    2,697.27x = 7,794,827.02
  5. Step 5: Solve for x
    x = 7,794,827.02/2,697.27
  6. Step 6: Final answer
    x = 2,889.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.