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Finding the Fourth Proportional to 2,540.64, 3,813.69 and 2,134.23

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Solution

The fourth proportional to 2,540.64, 3,813.69 and 2,134.23 is: 3,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.64 : 3,813.69 = 2,134.23 : x
  2. Step 2: Convert to fraction form
    2,540.64/3,813.69 = 2,134.23/x
  3. Step 3: Cross multiply
    2,540.64x = 3,813.69 × 2,134.23
  4. Step 4: Simplify right side
    2,540.64x = 8,139,291.61
  5. Step 5: Solve for x
    x = 8,139,291.61/2,540.64
  6. Step 6: Final answer
    x = 3,203.64

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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.