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Finding the Fourth Proportional to 2,042.24, 3,063.28 and 503.24

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Solution

The fourth proportional to 2,042.24, 3,063.28 and 503.24 is: 754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.24 : 3,063.28 = 503.24 : x
  2. Step 2: Convert to fraction form
    2,042.24/3,063.28 = 503.24/x
  3. Step 3: Cross multiply
    2,042.24x = 3,063.28 × 503.24
  4. Step 4: Simplify right side
    2,042.24x = 1,541,565.03
  5. Step 5: Solve for x
    x = 1,541,565.03/2,042.24
  6. Step 6: Final answer
    x = 754.84

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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.