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Finding the Fourth Proportional to 2,576.48, 3,871.86 and 2,513.96

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Solution

The fourth proportional to 2,576.48, 3,871.86 and 2,513.96 is: 3,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.48 : 3,871.86 = 2,513.96 : x
  2. Step 2: Convert to fraction form
    2,576.48/3,871.86 = 2,513.96/x
  3. Step 3: Cross multiply
    2,576.48x = 3,871.86 × 2,513.96
  4. Step 4: Simplify right side
    2,576.48x = 9,733,701.17
  5. Step 5: Solve for x
    x = 9,733,701.17/2,576.48
  6. Step 6: Final answer
    x = 3,777.91

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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.