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Finding the Fourth Proportional to 2,843.57, 4,265.82 and 1,200.35

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Solution

The fourth proportional to 2,843.57, 4,265.82 and 1,200.35 is: 1,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.57 : 4,265.82 = 1,200.35 : x
  2. Step 2: Convert to fraction form
    2,843.57/4,265.82 = 1,200.35/x
  3. Step 3: Cross multiply
    2,843.57x = 4,265.82 × 1,200.35
  4. Step 4: Simplify right side
    2,843.57x = 5,120,455.71
  5. Step 5: Solve for x
    x = 5,120,455.71/2,843.57
  6. Step 6: Final answer
    x = 1,800.72

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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.