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Finding the Fourth Proportional to 2,268.52, 3,400.81 and 1,881.74

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Solution

The fourth proportional to 2,268.52, 3,400.81 and 1,881.74 is: 2,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.52 : 3,400.81 = 1,881.74 : x
  2. Step 2: Convert to fraction form
    2,268.52/3,400.81 = 1,881.74/x
  3. Step 3: Cross multiply
    2,268.52x = 3,400.81 × 1,881.74
  4. Step 4: Simplify right side
    2,268.52x = 6,399,440.21
  5. Step 5: Solve for x
    x = 6,399,440.21/2,268.52
  6. Step 6: Final answer
    x = 2,820.98

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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.