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Finding the Fourth Proportional to 2,540.94, 3,807.94 and 1,554.09

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Solution

The fourth proportional to 2,540.94, 3,807.94 and 1,554.09 is: 2,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.94 : 3,807.94 = 1,554.09 : x
  2. Step 2: Convert to fraction form
    2,540.94/3,807.94 = 1,554.09/x
  3. Step 3: Cross multiply
    2,540.94x = 3,807.94 × 1,554.09
  4. Step 4: Simplify right side
    2,540.94x = 5,917,897.70
  5. Step 5: Solve for x
    x = 5,917,897.70/2,540.94
  6. Step 6: Final answer
    x = 2,329.02

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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.