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Finding the Fourth Proportional to 2,696.52, 4,044.77 and 2,149.77

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Solution

The fourth proportional to 2,696.52, 4,044.77 and 2,149.77 is: 3,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.52 : 4,044.77 = 2,149.77 : x
  2. Step 2: Convert to fraction form
    2,696.52/4,044.77 = 2,149.77/x
  3. Step 3: Cross multiply
    2,696.52x = 4,044.77 × 2,149.77
  4. Step 4: Simplify right side
    2,696.52x = 8,695,314.45
  5. Step 5: Solve for x
    x = 8,695,314.45/2,696.52
  6. Step 6: Final answer
    x = 3,224.64

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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.