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Finding the Fourth Proportional to 3,169.70, 4,374.46 and 1,843.32

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Solution

The fourth proportional to 3,169.70, 4,374.46 and 1,843.32 is: 2,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.70 : 4,374.46 = 1,843.32 : x
  2. Step 2: Convert to fraction form
    3,169.70/4,374.46 = 1,843.32/x
  3. Step 3: Cross multiply
    3,169.70x = 4,374.46 × 1,843.32
  4. Step 4: Simplify right side
    3,169.70x = 8,063,537.95
  5. Step 5: Solve for x
    x = 8,063,537.95/3,169.70
  6. Step 6: Final answer
    x = 2,543.94

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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.