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Finding the Fourth Proportional to 2,387.92, 3,576.12 and 2,023.12

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Solution

The fourth proportional to 2,387.92, 3,576.12 and 2,023.12 is: 3,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.92 : 3,576.12 = 2,023.12 : x
  2. Step 2: Convert to fraction form
    2,387.92/3,576.12 = 2,023.12/x
  3. Step 3: Cross multiply
    2,387.92x = 3,576.12 × 2,023.12
  4. Step 4: Simplify right side
    2,387.92x = 7,234,919.89
  5. Step 5: Solve for x
    x = 7,234,919.89/2,387.92
  6. Step 6: Final answer
    x = 3,029.80

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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.