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Finding the Fourth Proportional to 2,576.81, 3,554.39 and 2,261.82

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Solution

The fourth proportional to 2,576.81, 3,554.39 and 2,261.82 is: 3,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.81 : 3,554.39 = 2,261.82 : x
  2. Step 2: Convert to fraction form
    2,576.81/3,554.39 = 2,261.82/x
  3. Step 3: Cross multiply
    2,576.81x = 3,554.39 × 2,261.82
  4. Step 4: Simplify right side
    2,576.81x = 8,039,396.04
  5. Step 5: Solve for x
    x = 8,039,396.04/2,576.81
  6. Step 6: Final answer
    x = 3,119.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.