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Finding the Fourth Proportional to 2,860, 3,947.04 and 1,618.24

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Solution

The fourth proportional to 2,860, 3,947.04 and 1,618.24 is: 2,233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860 : 3,947.04 = 1,618.24 : x
  2. Step 2: Convert to fraction form
    2,860/3,947.04 = 1,618.24/x
  3. Step 3: Cross multiply
    2,860x = 3,947.04 × 1,618.24
  4. Step 4: Simplify right side
    2,860x = 6,387,258.01
  5. Step 5: Solve for x
    x = 6,387,258.01/2,860
  6. Step 6: Final answer
    x = 2,233.31

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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.