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Finding the Fourth Proportional to 2,296.30, 3,447.15 and 2,280.10

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Solution

The fourth proportional to 2,296.30, 3,447.15 and 2,280.10 is: 3,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.30 : 3,447.15 = 2,280.10 : x
  2. Step 2: Convert to fraction form
    2,296.30/3,447.15 = 2,280.10/x
  3. Step 3: Cross multiply
    2,296.30x = 3,447.15 × 2,280.10
  4. Step 4: Simplify right side
    2,296.30x = 7,859,846.72
  5. Step 5: Solve for x
    x = 7,859,846.72/2,296.30
  6. Step 6: Final answer
    x = 3,422.83

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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.