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Finding the Fourth Proportional to 7,198.92, 10,798.14 and 2,268.45

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Solution

The fourth proportional to 7,198.92, 10,798.14 and 2,268.45 is: 3,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.92 : 10,798.14 = 2,268.45 : x
  2. Step 2: Convert to fraction form
    7,198.92/10,798.14 = 2,268.45/x
  3. Step 3: Cross multiply
    7,198.92x = 10,798.14 × 2,268.45
  4. Step 4: Simplify right side
    7,198.92x = 24,495,049.19
  5. Step 5: Solve for x
    x = 24,495,049.19/7,198.92
  6. Step 6: Final answer
    x = 3,402.60

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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.