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Finding the Fourth Proportional to 2,093.30, 3,134.55 and 1,661.30

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Solution

The fourth proportional to 2,093.30, 3,134.55 and 1,661.30 is: 2,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.30 : 3,134.55 = 1,661.30 : x
  2. Step 2: Convert to fraction form
    2,093.30/3,134.55 = 1,661.30/x
  3. Step 3: Cross multiply
    2,093.30x = 3,134.55 × 1,661.30
  4. Step 4: Simplify right side
    2,093.30x = 5,207,427.92
  5. Step 5: Solve for x
    x = 5,207,427.92/2,093.30
  6. Step 6: Final answer
    x = 2,487.66

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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.