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Finding the Fourth Proportional to 3,054.09, 4,581.14 and 1,322.31

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Solution

The fourth proportional to 3,054.09, 4,581.14 and 1,322.31 is: 1,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.09 : 4,581.14 = 1,322.31 : x
  2. Step 2: Convert to fraction form
    3,054.09/4,581.14 = 1,322.31/x
  3. Step 3: Cross multiply
    3,054.09x = 4,581.14 × 1,322.31
  4. Step 4: Simplify right side
    3,054.09x = 6,057,680.62
  5. Step 5: Solve for x
    x = 6,057,680.62/3,054.09
  6. Step 6: Final answer
    x = 1,983.47

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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.