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Finding the Fourth Proportional to 2,843.42, 4,264.98 and 1,089.26

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Solution

The fourth proportional to 2,843.42, 4,264.98 and 1,089.26 is: 1,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.42 : 4,264.98 = 1,089.26 : x
  2. Step 2: Convert to fraction form
    2,843.42/4,264.98 = 1,089.26/x
  3. Step 3: Cross multiply
    2,843.42x = 4,264.98 × 1,089.26
  4. Step 4: Simplify right side
    2,843.42x = 4,645,671.76
  5. Step 5: Solve for x
    x = 4,645,671.76/2,843.42
  6. Step 6: Final answer
    x = 1,633.83

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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.