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Finding the Fourth Proportional to 2,576.25, 3,865.14 and 1,481.40

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Solution

The fourth proportional to 2,576.25, 3,865.14 and 1,481.40 is: 2,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.25 : 3,865.14 = 1,481.40 : x
  2. Step 2: Convert to fraction form
    2,576.25/3,865.14 = 1,481.40/x
  3. Step 3: Cross multiply
    2,576.25x = 3,865.14 × 1,481.40
  4. Step 4: Simplify right side
    2,576.25x = 5,725,818.40
  5. Step 5: Solve for x
    x = 5,725,818.40/2,576.25
  6. Step 6: Final answer
    x = 2,222.54

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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.