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Finding the Fourth Proportional to 2,053.84, 3,081.32 and 1,079.68

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Solution

The fourth proportional to 2,053.84, 3,081.32 and 1,079.68 is: 1,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.84 : 3,081.32 = 1,079.68 : x
  2. Step 2: Convert to fraction form
    2,053.84/3,081.32 = 1,079.68/x
  3. Step 3: Cross multiply
    2,053.84x = 3,081.32 × 1,079.68
  4. Step 4: Simplify right side
    2,053.84x = 3,326,839.58
  5. Step 5: Solve for x
    x = 3,326,839.58/2,053.84
  6. Step 6: Final answer
    x = 1,619.81

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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.