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Finding the Fourth Proportional to 1,943.61, 2,678.97 and 1,375.71

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Solution

The fourth proportional to 1,943.61, 2,678.97 and 1,375.71 is: 1,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.61 : 2,678.97 = 1,375.71 : x
  2. Step 2: Convert to fraction form
    1,943.61/2,678.97 = 1,375.71/x
  3. Step 3: Cross multiply
    1,943.61x = 2,678.97 × 1,375.71
  4. Step 4: Simplify right side
    1,943.61x = 3,685,485.82
  5. Step 5: Solve for x
    x = 3,685,485.82/1,943.61
  6. Step 6: Final answer
    x = 1,896.21

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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.