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Finding the Fourth Proportional to 2,054.56, 3,079.74 and 1,233.22

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Solution

The fourth proportional to 2,054.56, 3,079.74 and 1,233.22 is: 1,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.56 : 3,079.74 = 1,233.22 : x
  2. Step 2: Convert to fraction form
    2,054.56/3,079.74 = 1,233.22/x
  3. Step 3: Cross multiply
    2,054.56x = 3,079.74 × 1,233.22
  4. Step 4: Simplify right side
    2,054.56x = 3,797,996.96
  5. Step 5: Solve for x
    x = 3,797,996.96/2,054.56
  6. Step 6: Final answer
    x = 1,848.57

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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.