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Finding the Fourth Proportional to 2,861.74, 4,297.44 and 1,876.24

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Solution

The fourth proportional to 2,861.74, 4,297.44 and 1,876.24 is: 2,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.74 : 4,297.44 = 1,876.24 : x
  2. Step 2: Convert to fraction form
    2,861.74/4,297.44 = 1,876.24/x
  3. Step 3: Cross multiply
    2,861.74x = 4,297.44 × 1,876.24
  4. Step 4: Simplify right side
    2,861.74x = 8,063,028.83
  5. Step 5: Solve for x
    x = 8,063,028.83/2,861.74
  6. Step 6: Final answer
    x = 2,817.53

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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.