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Finding the Fourth Proportional to 2,053.42, 3,081.03 and 1,079.30

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Solution

The fourth proportional to 2,053.42, 3,081.03 and 1,079.30 is: 1,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.42 : 3,081.03 = 1,079.30 : x
  2. Step 2: Convert to fraction form
    2,053.42/3,081.03 = 1,079.30/x
  3. Step 3: Cross multiply
    2,053.42x = 3,081.03 × 1,079.30
  4. Step 4: Simplify right side
    2,053.42x = 3,325,355.68
  5. Step 5: Solve for x
    x = 3,325,355.68/2,053.42
  6. Step 6: Final answer
    x = 1,619.42

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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.