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Finding the Fourth Proportional to 2,042, 3,063.27 and 1,721.24

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Solution

The fourth proportional to 2,042, 3,063.27 and 1,721.24 is: 2,582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042 : 3,063.27 = 1,721.24 : x
  2. Step 2: Convert to fraction form
    2,042/3,063.27 = 1,721.24/x
  3. Step 3: Cross multiply
    2,042x = 3,063.27 × 1,721.24
  4. Step 4: Simplify right side
    2,042x = 5,272,622.85
  5. Step 5: Solve for x
    x = 5,272,622.85/2,042
  6. Step 6: Final answer
    x = 2,582.09

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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.