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Finding the Fourth Proportional to 2,696.04, 3,721.86 and 1,648.44

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Solution

The fourth proportional to 2,696.04, 3,721.86 and 1,648.44 is: 2,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.04 : 3,721.86 = 1,648.44 : x
  2. Step 2: Convert to fraction form
    2,696.04/3,721.86 = 1,648.44/x
  3. Step 3: Cross multiply
    2,696.04x = 3,721.86 × 1,648.44
  4. Step 4: Simplify right side
    2,696.04x = 6,135,262.90
  5. Step 5: Solve for x
    x = 6,135,262.90/2,696.04
  6. Step 6: Final answer
    x = 2,275.66

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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.