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Finding the Fourth Proportional to 2,042.87, 3,064.31 and 503.87

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Solution

The fourth proportional to 2,042.87, 3,064.31 and 503.87 is: 755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.87 : 3,064.31 = 503.87 : x
  2. Step 2: Convert to fraction form
    2,042.87/3,064.31 = 503.87/x
  3. Step 3: Cross multiply
    2,042.87x = 3,064.31 × 503.87
  4. Step 4: Simplify right side
    2,042.87x = 1,543,996.04
  5. Step 5: Solve for x
    x = 1,543,996.04/2,042.87
  6. Step 6: Final answer
    x = 755.80

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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.