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Finding the Fourth Proportional to 2,687.71, 4,024.36 and 1,576.21

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Solution

The fourth proportional to 2,687.71, 4,024.36 and 1,576.21 is: 2,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.71 : 4,024.36 = 1,576.21 : x
  2. Step 2: Convert to fraction form
    2,687.71/4,024.36 = 1,576.21/x
  3. Step 3: Cross multiply
    2,687.71x = 4,024.36 × 1,576.21
  4. Step 4: Simplify right side
    2,687.71x = 6,343,231.50
  5. Step 5: Solve for x
    x = 6,343,231.50/2,687.71
  6. Step 6: Final answer
    x = 2,360.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.