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Finding the Fourth Proportional to 3,181.68, 4,771.20 and 2,853.66

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Solution

The fourth proportional to 3,181.68, 4,771.20 and 2,853.66 is: 4,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.68 : 4,771.20 = 2,853.66 : x
  2. Step 2: Convert to fraction form
    3,181.68/4,771.20 = 2,853.66/x
  3. Step 3: Cross multiply
    3,181.68x = 4,771.20 × 2,853.66
  4. Step 4: Simplify right side
    3,181.68x = 13,615,382.59
  5. Step 5: Solve for x
    x = 13,615,382.59/3,181.68
  6. Step 6: Final answer
    x = 4,279.31

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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.