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Finding the Fourth Proportional to 3,181.40, 4,758.60 and 2,854.70

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Solution

The fourth proportional to 3,181.40, 4,758.60 and 2,854.70 is: 4,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.40 : 4,758.60 = 2,854.70 : x
  2. Step 2: Convert to fraction form
    3,181.40/4,758.60 = 2,854.70/x
  3. Step 3: Cross multiply
    3,181.40x = 4,758.60 × 2,854.70
  4. Step 4: Simplify right side
    3,181.40x = 13,584,375.42
  5. Step 5: Solve for x
    x = 13,584,375.42/3,181.40
  6. Step 6: Final answer
    x = 4,269.94

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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.