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Finding the Fourth Proportional to 2,268.42, 3,402.72 and 1,174.92

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Solution

The fourth proportional to 2,268.42, 3,402.72 and 1,174.92 is: 1,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.42 : 3,402.72 = 1,174.92 : x
  2. Step 2: Convert to fraction form
    2,268.42/3,402.72 = 1,174.92/x
  3. Step 3: Cross multiply
    2,268.42x = 3,402.72 × 1,174.92
  4. Step 4: Simplify right side
    2,268.42x = 3,997,923.78
  5. Step 5: Solve for x
    x = 3,997,923.78/2,268.42
  6. Step 6: Final answer
    x = 1,762.43

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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.