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Finding the Fourth Proportional to 2,876.87, 3,970.47 and 1,682.22

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Solution

The fourth proportional to 2,876.87, 3,970.47 and 1,682.22 is: 2,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.87 : 3,970.47 = 1,682.22 : x
  2. Step 2: Convert to fraction form
    2,876.87/3,970.47 = 1,682.22/x
  3. Step 3: Cross multiply
    2,876.87x = 3,970.47 × 1,682.22
  4. Step 4: Simplify right side
    2,876.87x = 6,679,193.44
  5. Step 5: Solve for x
    x = 6,679,193.44/2,876.87
  6. Step 6: Final answer
    x = 2,321.69

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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.