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Finding the Fourth Proportional to 2,859, 3,945.96 and 1,680.72

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Solution

The fourth proportional to 2,859, 3,945.96 and 1,680.72 is: 2,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859 : 3,945.96 = 1,680.72 : x
  2. Step 2: Convert to fraction form
    2,859/3,945.96 = 1,680.72/x
  3. Step 3: Cross multiply
    2,859x = 3,945.96 × 1,680.72
  4. Step 4: Simplify right side
    2,859x = 6,632,053.89
  5. Step 5: Solve for x
    x = 6,632,053.89/2,859
  6. Step 6: Final answer
    x = 2,319.71

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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.