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Finding the Fourth Proportional to 2,640.39, 3,645.45 and 1,696.61

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Solution

The fourth proportional to 2,640.39, 3,645.45 and 1,696.61 is: 2,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.39 : 3,645.45 = 1,696.61 : x
  2. Step 2: Convert to fraction form
    2,640.39/3,645.45 = 1,696.61/x
  3. Step 3: Cross multiply
    2,640.39x = 3,645.45 × 1,696.61
  4. Step 4: Simplify right side
    2,640.39x = 6,184,888.70
  5. Step 5: Solve for x
    x = 6,184,888.70/2,640.39
  6. Step 6: Final answer
    x = 2,342.41

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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.