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Finding the Fourth Proportional to 2,859.79, 3,945.72 and 1,680.43

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Solution

The fourth proportional to 2,859.79, 3,945.72 and 1,680.43 is: 2,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.79 : 3,945.72 = 1,680.43 : x
  2. Step 2: Convert to fraction form
    2,859.79/3,945.72 = 1,680.43/x
  3. Step 3: Cross multiply
    2,859.79x = 3,945.72 × 1,680.43
  4. Step 4: Simplify right side
    2,859.79x = 6,630,506.26
  5. Step 5: Solve for x
    x = 6,630,506.26/2,859.79
  6. Step 6: Final answer
    x = 2,318.53

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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.