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Finding the Fourth Proportional to 3,276.14, 4,906.29 and 2,042.00

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Solution

The fourth proportional to 3,276.14, 4,906.29 and 2,042.00 is: 3,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.14 : 4,906.29 = 2,042.00 : x
  2. Step 2: Convert to fraction form
    3,276.14/4,906.29 = 2,042.00/x
  3. Step 3: Cross multiply
    3,276.14x = 4,906.29 × 2,042.00
  4. Step 4: Simplify right side
    3,276.14x = 10,018,619.65
  5. Step 5: Solve for x
    x = 10,018,619.65/3,276.14
  6. Step 6: Final answer
    x = 3,058.06

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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.