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Finding the Fourth Proportional to 2,540.00, 3,808.89 and 1,153.28

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Solution

The fourth proportional to 2,540.00, 3,808.89 and 1,153.28 is: 1,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.00 : 3,808.89 = 1,153.28 : x
  2. Step 2: Convert to fraction form
    2,540.00/3,808.89 = 1,153.28/x
  3. Step 3: Cross multiply
    2,540.00x = 3,808.89 × 1,153.28
  4. Step 4: Simplify right side
    2,540.00x = 4,392,726.18
  5. Step 5: Solve for x
    x = 4,392,726.18/2,540.00
  6. Step 6: Final answer
    x = 1,729.42

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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.