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Finding the Fourth Proportional to 2,753.64, 4,149.41 and 2,277.40

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Solution

The fourth proportional to 2,753.64, 4,149.41 and 2,277.40 is: 3,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.64 : 4,149.41 = 2,277.40 : x
  2. Step 2: Convert to fraction form
    2,753.64/4,149.41 = 2,277.40/x
  3. Step 3: Cross multiply
    2,753.64x = 4,149.41 × 2,277.40
  4. Step 4: Simplify right side
    2,753.64x = 9,449,866.33
  5. Step 5: Solve for x
    x = 9,449,866.33/2,753.64
  6. Step 6: Final answer
    x = 3,431.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.