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Finding the Fourth Proportional to 2,074.32, 3,107.23 and 1,661.22

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Solution

The fourth proportional to 2,074.32, 3,107.23 and 1,661.22 is: 2,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.32 : 3,107.23 = 1,661.22 : x
  2. Step 2: Convert to fraction form
    2,074.32/3,107.23 = 1,661.22/x
  3. Step 3: Cross multiply
    2,074.32x = 3,107.23 × 1,661.22
  4. Step 4: Simplify right side
    2,074.32x = 5,161,788.47
  5. Step 5: Solve for x
    x = 5,161,788.47/2,074.32
  6. Step 6: Final answer
    x = 2,488.42

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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.