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Finding the Fourth Proportional to 2,268.89, 3,404.65 and 952.52

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Solution

The fourth proportional to 2,268.89, 3,404.65 and 952.52 is: 1,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.89 : 3,404.65 = 952.52 : x
  2. Step 2: Convert to fraction form
    2,268.89/3,404.65 = 952.52/x
  3. Step 3: Cross multiply
    2,268.89x = 3,404.65 × 952.52
  4. Step 4: Simplify right side
    2,268.89x = 3,243,003.35
  5. Step 5: Solve for x
    x = 3,243,003.35/2,268.89
  6. Step 6: Final answer
    x = 1,429.33

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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.