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Finding the Fourth Proportional to 2,538.30, 3,809.10 and 894.80

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Solution

The fourth proportional to 2,538.30, 3,809.10 and 894.80 is: 1,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.30 : 3,809.10 = 894.80 : x
  2. Step 2: Convert to fraction form
    2,538.30/3,809.10 = 894.80/x
  3. Step 3: Cross multiply
    2,538.30x = 3,809.10 × 894.80
  4. Step 4: Simplify right side
    2,538.30x = 3,408,382.68
  5. Step 5: Solve for x
    x = 3,408,382.68/2,538.30
  6. Step 6: Final answer
    x = 1,342.78

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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.