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Finding the Fourth Proportional to 2,843.74, 4,265.70 and 1,200.34

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Solution

The fourth proportional to 2,843.74, 4,265.70 and 1,200.34 is: 1,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.74 : 4,265.70 = 1,200.34 : x
  2. Step 2: Convert to fraction form
    2,843.74/4,265.70 = 1,200.34/x
  3. Step 3: Cross multiply
    2,843.74x = 4,265.70 × 1,200.34
  4. Step 4: Simplify right side
    2,843.74x = 5,120,290.34
  5. Step 5: Solve for x
    x = 5,120,290.34/2,843.74
  6. Step 6: Final answer
    x = 1,800.55

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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.