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Finding the Fourth Proportional to 2,174.69, 3,259.14 and 1,184.96

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Solution

The fourth proportional to 2,174.69, 3,259.14 and 1,184.96 is: 1,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.69 : 3,259.14 = 1,184.96 : x
  2. Step 2: Convert to fraction form
    2,174.69/3,259.14 = 1,184.96/x
  3. Step 3: Cross multiply
    2,174.69x = 3,259.14 × 1,184.96
  4. Step 4: Simplify right side
    2,174.69x = 3,861,958.68
  5. Step 5: Solve for x
    x = 3,861,958.68/2,174.69
  6. Step 6: Final answer
    x = 1,775.87

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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.