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Finding the Fourth Proportional to 2,772.87, 3,828.36 and 2,142.30

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Solution

The fourth proportional to 2,772.87, 3,828.36 and 2,142.30 is: 2,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.87 : 3,828.36 = 2,142.30 : x
  2. Step 2: Convert to fraction form
    2,772.87/3,828.36 = 2,142.30/x
  3. Step 3: Cross multiply
    2,772.87x = 3,828.36 × 2,142.30
  4. Step 4: Simplify right side
    2,772.87x = 8,201,495.63
  5. Step 5: Solve for x
    x = 8,201,495.63/2,772.87
  6. Step 6: Final answer
    x = 2,957.76

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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.