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Finding the Fourth Proportional to 3,085.25, 4,257.65 and 1,843.25

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Solution

The fourth proportional to 3,085.25, 4,257.65 and 1,843.25 is: 2,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.25 : 4,257.65 = 1,843.25 : x
  2. Step 2: Convert to fraction form
    3,085.25/4,257.65 = 1,843.25/x
  3. Step 3: Cross multiply
    3,085.25x = 4,257.65 × 1,843.25
  4. Step 4: Simplify right side
    3,085.25x = 7,847,904.15
  5. Step 5: Solve for x
    x = 7,847,904.15/3,085.25
  6. Step 6: Final answer
    x = 2,543.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.