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Finding the Fourth Proportional to 2,873.56, 3,961.02 and 1,878.34

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Solution

The fourth proportional to 2,873.56, 3,961.02 and 1,878.34 is: 2,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.56 : 3,961.02 = 1,878.34 : x
  2. Step 2: Convert to fraction form
    2,873.56/3,961.02 = 1,878.34/x
  3. Step 3: Cross multiply
    2,873.56x = 3,961.02 × 1,878.34
  4. Step 4: Simplify right side
    2,873.56x = 7,440,142.31
  5. Step 5: Solve for x
    x = 7,440,142.31/2,873.56
  6. Step 6: Final answer
    x = 2,589.17

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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.