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Finding the Fourth Proportional to 2,653.43, 3,980.39 and 1,093.07

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Solution

The fourth proportional to 2,653.43, 3,980.39 and 1,093.07 is: 1,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.43 : 3,980.39 = 1,093.07 : x
  2. Step 2: Convert to fraction form
    2,653.43/3,980.39 = 1,093.07/x
  3. Step 3: Cross multiply
    2,653.43x = 3,980.39 × 1,093.07
  4. Step 4: Simplify right side
    2,653.43x = 4,350,844.90
  5. Step 5: Solve for x
    x = 4,350,844.90/2,653.43
  6. Step 6: Final answer
    x = 1,639.71

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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.