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Finding the Fourth Proportional to 2,042.44, 3,063.66 and 503.44

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Solution

The fourth proportional to 2,042.44, 3,063.66 and 503.44 is: 755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.44 : 3,063.66 = 503.44 : x
  2. Step 2: Convert to fraction form
    2,042.44/3,063.66 = 503.44/x
  3. Step 3: Cross multiply
    2,042.44x = 3,063.66 × 503.44
  4. Step 4: Simplify right side
    2,042.44x = 1,542,359.44
  5. Step 5: Solve for x
    x = 1,542,359.44/2,042.44
  6. Step 6: Final answer
    x = 755.16

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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.