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Finding the Fourth Proportional to 2,042.05, 3,063.03 and 503.05

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Solution

The fourth proportional to 2,042.05, 3,063.03 and 503.05 is: 754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.05 : 3,063.03 = 503.05 : x
  2. Step 2: Convert to fraction form
    2,042.05/3,063.03 = 503.05/x
  3. Step 3: Cross multiply
    2,042.05x = 3,063.03 × 503.05
  4. Step 4: Simplify right side
    2,042.05x = 1,540,857.24
  5. Step 5: Solve for x
    x = 1,540,857.24/2,042.05
  6. Step 6: Final answer
    x = 754.56

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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.