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Finding the Fourth Proportional to 2,786.00, 3,844.63 and 1,527.05

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Solution

The fourth proportional to 2,786.00, 3,844.63 and 1,527.05 is: 2,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.00 : 3,844.63 = 1,527.05 : x
  2. Step 2: Convert to fraction form
    2,786.00/3,844.63 = 1,527.05/x
  3. Step 3: Cross multiply
    2,786.00x = 3,844.63 × 1,527.05
  4. Step 4: Simplify right side
    2,786.00x = 5,870,948.04
  5. Step 5: Solve for x
    x = 5,870,948.04/2,786.00
  6. Step 6: Final answer
    x = 2,107.31

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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.