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Finding the Fourth Proportional to 2,614.11, 3,613.21 and 2,296.99

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Solution

The fourth proportional to 2,614.11, 3,613.21 and 2,296.99 is: 3,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.11 : 3,613.21 = 2,296.99 : x
  2. Step 2: Convert to fraction form
    2,614.11/3,613.21 = 2,296.99/x
  3. Step 3: Cross multiply
    2,614.11x = 3,613.21 × 2,296.99
  4. Step 4: Simplify right side
    2,614.11x = 8,299,506.01
  5. Step 5: Solve for x
    x = 8,299,506.01/2,614.11
  6. Step 6: Final answer
    x = 3,174.89

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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.