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Finding the Fourth Proportional to 2,061.53, 3,091.89 and 828.31

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Solution

The fourth proportional to 2,061.53, 3,091.89 and 828.31 is: 1,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.53 : 3,091.89 = 828.31 : x
  2. Step 2: Convert to fraction form
    2,061.53/3,091.89 = 828.31/x
  3. Step 3: Cross multiply
    2,061.53x = 3,091.89 × 828.31
  4. Step 4: Simplify right side
    2,061.53x = 2,561,027.95
  5. Step 5: Solve for x
    x = 2,561,027.95/2,061.53
  6. Step 6: Final answer
    x = 1,242.29

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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.