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Finding the Fourth Proportional to 2,843.55, 4,264.92 and 1,200.51

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Solution

The fourth proportional to 2,843.55, 4,264.92 and 1,200.51 is: 1,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.55 : 4,264.92 = 1,200.51 : x
  2. Step 2: Convert to fraction form
    2,843.55/4,264.92 = 1,200.51/x
  3. Step 3: Cross multiply
    2,843.55x = 4,264.92 × 1,200.51
  4. Step 4: Simplify right side
    2,843.55x = 5,120,079.11
  5. Step 5: Solve for x
    x = 5,120,079.11/2,843.55
  6. Step 6: Final answer
    x = 1,800.59

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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.