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Finding the Fourth Proportional to 2,773.16, 3,828.42 and 2,142.32

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Solution

The fourth proportional to 2,773.16, 3,828.42 and 2,142.32 is: 2,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.16 : 3,828.42 = 2,142.32 : x
  2. Step 2: Convert to fraction form
    2,773.16/3,828.42 = 2,142.32/x
  3. Step 3: Cross multiply
    2,773.16x = 3,828.42 × 2,142.32
  4. Step 4: Simplify right side
    2,773.16x = 8,201,700.73
  5. Step 5: Solve for x
    x = 8,201,700.73/2,773.16
  6. Step 6: Final answer
    x = 2,957.53

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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.