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Finding the Fourth Proportional to 2,914.01, 4,022.83 and 1,974.77

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Solution

The fourth proportional to 2,914.01, 4,022.83 and 1,974.77 is: 2,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.01 : 4,022.83 = 1,974.77 : x
  2. Step 2: Convert to fraction form
    2,914.01/4,022.83 = 1,974.77/x
  3. Step 3: Cross multiply
    2,914.01x = 4,022.83 × 1,974.77
  4. Step 4: Simplify right side
    2,914.01x = 7,944,164.00
  5. Step 5: Solve for x
    x = 7,944,164.00/2,914.01
  6. Step 6: Final answer
    x = 2,726.20

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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.