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Finding the Fourth Proportional to 2,029.70, 3,044.43 and 569.06

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Solution

The fourth proportional to 2,029.70, 3,044.43 and 569.06 is: 853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.70 : 3,044.43 = 569.06 : x
  2. Step 2: Convert to fraction form
    2,029.70/3,044.43 = 569.06/x
  3. Step 3: Cross multiply
    2,029.70x = 3,044.43 × 569.06
  4. Step 4: Simplify right side
    2,029.70x = 1,732,463.34
  5. Step 5: Solve for x
    x = 1,732,463.34/2,029.70
  6. Step 6: Final answer
    x = 853.56

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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.