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Finding the Fourth Proportional to 2,561.40, 3,842.70 and 806.52

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Solution

The fourth proportional to 2,561.40, 3,842.70 and 806.52 is: 1,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.40 : 3,842.70 = 806.52 : x
  2. Step 2: Convert to fraction form
    2,561.40/3,842.70 = 806.52/x
  3. Step 3: Cross multiply
    2,561.40x = 3,842.70 × 806.52
  4. Step 4: Simplify right side
    2,561.40x = 3,099,214.40
  5. Step 5: Solve for x
    x = 3,099,214.40/2,561.40
  6. Step 6: Final answer
    x = 1,209.97

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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.