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Finding the Fourth Proportional to 2,029.99, 3,044.63 and 569.26

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Solution

The fourth proportional to 2,029.99, 3,044.63 and 569.26 is: 853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.99 : 3,044.63 = 569.26 : x
  2. Step 2: Convert to fraction form
    2,029.99/3,044.63 = 569.26/x
  3. Step 3: Cross multiply
    2,029.99x = 3,044.63 × 569.26
  4. Step 4: Simplify right side
    2,029.99x = 1,733,170.85
  5. Step 5: Solve for x
    x = 1,733,170.85/2,029.99
  6. Step 6: Final answer
    x = 853.78

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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.