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Finding the Fourth Proportional to 2,764.90, 4,121.09 and 2,554.21

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Solution

The fourth proportional to 2,764.90, 4,121.09 and 2,554.21 is: 3,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.90 : 4,121.09 = 2,554.21 : x
  2. Step 2: Convert to fraction form
    2,764.90/4,121.09 = 2,554.21/x
  3. Step 3: Cross multiply
    2,764.90x = 4,121.09 × 2,554.21
  4. Step 4: Simplify right side
    2,764.90x = 10,526,129.29
  5. Step 5: Solve for x
    x = 10,526,129.29/2,764.90
  6. Step 6: Final answer
    x = 3,807.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.