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Finding the Fourth Proportional to 2,859.23, 3,945.80 and 1,600.25

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Solution

The fourth proportional to 2,859.23, 3,945.80 and 1,600.25 is: 2,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.23 : 3,945.80 = 1,600.25 : x
  2. Step 2: Convert to fraction form
    2,859.23/3,945.80 = 1,600.25/x
  3. Step 3: Cross multiply
    2,859.23x = 3,945.80 × 1,600.25
  4. Step 4: Simplify right side
    2,859.23x = 6,314,266.45
  5. Step 5: Solve for x
    x = 6,314,266.45/2,859.23
  6. Step 6: Final answer
    x = 2,208.38

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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.