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Finding the Fourth Proportional to 2,027.91, 3,042.17 and 857.91

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Solution

The fourth proportional to 2,027.91, 3,042.17 and 857.91 is: 1,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.91 : 3,042.17 = 857.91 : x
  2. Step 2: Convert to fraction form
    2,027.91/3,042.17 = 857.91/x
  3. Step 3: Cross multiply
    2,027.91x = 3,042.17 × 857.91
  4. Step 4: Simplify right side
    2,027.91x = 2,609,908.06
  5. Step 5: Solve for x
    x = 2,609,908.06/2,027.91
  6. Step 6: Final answer
    x = 1,287.00

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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.