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Finding the Fourth Proportional to 2,576.85, 3,863.45 and 1,261.01

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Solution

The fourth proportional to 2,576.85, 3,863.45 and 1,261.01 is: 1,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.85 : 3,863.45 = 1,261.01 : x
  2. Step 2: Convert to fraction form
    2,576.85/3,863.45 = 1,261.01/x
  3. Step 3: Cross multiply
    2,576.85x = 3,863.45 × 1,261.01
  4. Step 4: Simplify right side
    2,576.85x = 4,871,832.92
  5. Step 5: Solve for x
    x = 4,871,832.92/2,576.85
  6. Step 6: Final answer
    x = 1,890.62

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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.