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Finding the Fourth Proportional to 2,422.75, 3,635.44 and 1,876

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Solution

The fourth proportional to 2,422.75, 3,635.44 and 1,876 is: 2,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.75 : 3,635.44 = 1,876 : x
  2. Step 2: Convert to fraction form
    2,422.75/3,635.44 = 1,876/x
  3. Step 3: Cross multiply
    2,422.75x = 3,635.44 × 1,876
  4. Step 4: Simplify right side
    2,422.75x = 6,820,085.44
  5. Step 5: Solve for x
    x = 6,820,085.44/2,422.75
  6. Step 6: Final answer
    x = 2,815.02

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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.