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Finding the Fourth Proportional to 4,256.80, 6,385.20 and 1,659.04

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Solution

The fourth proportional to 4,256.80, 6,385.20 and 1,659.04 is: 2,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.80 : 6,385.20 = 1,659.04 : x
  2. Step 2: Convert to fraction form
    4,256.80/6,385.20 = 1,659.04/x
  3. Step 3: Cross multiply
    4,256.80x = 6,385.20 × 1,659.04
  4. Step 4: Simplify right side
    4,256.80x = 10,593,302.21
  5. Step 5: Solve for x
    x = 10,593,302.21/4,256.80
  6. Step 6: Final answer
    x = 2,488.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.