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Finding the Fourth Proportional to 2,640.47, 3,640.54 and 1,694.59

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Solution

The fourth proportional to 2,640.47, 3,640.54 and 1,694.59 is: 2,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.47 : 3,640.54 = 1,694.59 : x
  2. Step 2: Convert to fraction form
    2,640.47/3,640.54 = 1,694.59/x
  3. Step 3: Cross multiply
    2,640.47x = 3,640.54 × 1,694.59
  4. Step 4: Simplify right side
    2,640.47x = 6,169,214.21
  5. Step 5: Solve for x
    x = 6,169,214.21/2,640.47
  6. Step 6: Final answer
    x = 2,336.41

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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.