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Finding the Fourth Proportional to 2,690.52, 4,027.46 and 2,296.92

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Solution

The fourth proportional to 2,690.52, 4,027.46 and 2,296.92 is: 3,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.52 : 4,027.46 = 2,296.92 : x
  2. Step 2: Convert to fraction form
    2,690.52/4,027.46 = 2,296.92/x
  3. Step 3: Cross multiply
    2,690.52x = 4,027.46 × 2,296.92
  4. Step 4: Simplify right side
    2,690.52x = 9,250,753.42
  5. Step 5: Solve for x
    x = 9,250,753.42/2,690.52
  6. Step 6: Final answer
    x = 3,438.28

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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.