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Finding the Fourth Proportional to 2,054.44, 3,081.21 and 593.56

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Solution

The fourth proportional to 2,054.44, 3,081.21 and 593.56 is: 890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.44 : 3,081.21 = 593.56 : x
  2. Step 2: Convert to fraction form
    2,054.44/3,081.21 = 593.56/x
  3. Step 3: Cross multiply
    2,054.44x = 3,081.21 × 593.56
  4. Step 4: Simplify right side
    2,054.44x = 1,828,883.01
  5. Step 5: Solve for x
    x = 1,828,883.01/2,054.44
  6. Step 6: Final answer
    x = 890.21

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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.