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Finding the Fourth Proportional to 2,406.26, 3,613.02 and 1,998.02

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Solution

The fourth proportional to 2,406.26, 3,613.02 and 1,998.02 is: 3,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.26 : 3,613.02 = 1,998.02 : x
  2. Step 2: Convert to fraction form
    2,406.26/3,613.02 = 1,998.02/x
  3. Step 3: Cross multiply
    2,406.26x = 3,613.02 × 1,998.02
  4. Step 4: Simplify right side
    2,406.26x = 7,218,886.22
  5. Step 5: Solve for x
    x = 7,218,886.22/2,406.26
  6. Step 6: Final answer
    x = 3,000.04

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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.