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Finding the Fourth Proportional to 2,212.56, 3,053.07 and 1,328.22

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Solution

The fourth proportional to 2,212.56, 3,053.07 and 1,328.22 is: 1,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.56 : 3,053.07 = 1,328.22 : x
  2. Step 2: Convert to fraction form
    2,212.56/3,053.07 = 1,328.22/x
  3. Step 3: Cross multiply
    2,212.56x = 3,053.07 × 1,328.22
  4. Step 4: Simplify right side
    2,212.56x = 4,055,148.64
  5. Step 5: Solve for x
    x = 4,055,148.64/2,212.56
  6. Step 6: Final answer
    x = 1,832.79

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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.