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Finding the Fourth Proportional to 2,029.86, 3,044.88 and 569.10

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Solution

The fourth proportional to 2,029.86, 3,044.88 and 569.10 is: 853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.86 : 3,044.88 = 569.10 : x
  2. Step 2: Convert to fraction form
    2,029.86/3,044.88 = 569.10/x
  3. Step 3: Cross multiply
    2,029.86x = 3,044.88 × 569.10
  4. Step 4: Simplify right side
    2,029.86x = 1,732,841.21
  5. Step 5: Solve for x
    x = 1,732,841.21/2,029.86
  6. Step 6: Final answer
    x = 853.68

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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.