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Finding the Fourth Proportional to 1,892.50, 2,609.97 and 1,228.72

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Solution

The fourth proportional to 1,892.50, 2,609.97 and 1,228.72 is: 1,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.50 : 2,609.97 = 1,228.72 : x
  2. Step 2: Convert to fraction form
    1,892.50/2,609.97 = 1,228.72/x
  3. Step 3: Cross multiply
    1,892.50x = 2,609.97 × 1,228.72
  4. Step 4: Simplify right side
    1,892.50x = 3,206,922.34
  5. Step 5: Solve for x
    x = 3,206,922.34/1,892.50
  6. Step 6: Final answer
    x = 1,694.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.