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Finding the Fourth Proportional to 2,063.49, 3,094.57 and 676.54

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Solution

The fourth proportional to 2,063.49, 3,094.57 and 676.54 is: 1,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.49 : 3,094.57 = 676.54 : x
  2. Step 2: Convert to fraction form
    2,063.49/3,094.57 = 676.54/x
  3. Step 3: Cross multiply
    2,063.49x = 3,094.57 × 676.54
  4. Step 4: Simplify right side
    2,063.49x = 2,093,605.10
  5. Step 5: Solve for x
    x = 2,093,605.10/2,063.49
  6. Step 6: Final answer
    x = 1,014.60

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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.