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Finding the Fourth Proportional to 2,696.48, 3,723 and 1,649.24

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Solution

The fourth proportional to 2,696.48, 3,723 and 1,649.24 is: 2,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.48 : 3,723 = 1,649.24 : x
  2. Step 2: Convert to fraction form
    2,696.48/3,723 = 1,649.24/x
  3. Step 3: Cross multiply
    2,696.48x = 3,723 × 1,649.24
  4. Step 4: Simplify right side
    2,696.48x = 6,140,120.52
  5. Step 5: Solve for x
    x = 6,140,120.52/2,696.48
  6. Step 6: Final answer
    x = 2,277.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.