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Finding the Fourth Proportional to 2,883, 3,978.81 and 1,641

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Solution

The fourth proportional to 2,883, 3,978.81 and 1,641 is: 2,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883 : 3,978.81 = 1,641 : x
  2. Step 2: Convert to fraction form
    2,883/3,978.81 = 1,641/x
  3. Step 3: Cross multiply
    2,883x = 3,978.81 × 1,641
  4. Step 4: Simplify right side
    2,883x = 6,529,227.21
  5. Step 5: Solve for x
    x = 6,529,227.21/2,883
  6. Step 6: Final answer
    x = 2,264.73

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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.