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Finding the Fourth Proportional to 2,859.26, 3,945.50 and 1,600.24

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Solution

The fourth proportional to 2,859.26, 3,945.50 and 1,600.24 is: 2,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.26 : 3,945.50 = 1,600.24 : x
  2. Step 2: Convert to fraction form
    2,859.26/3,945.50 = 1,600.24/x
  3. Step 3: Cross multiply
    2,859.26x = 3,945.50 × 1,600.24
  4. Step 4: Simplify right side
    2,859.26x = 6,313,746.92
  5. Step 5: Solve for x
    x = 6,313,746.92/2,859.26
  6. Step 6: Final answer
    x = 2,208.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.