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Finding the Fourth Proportional to 2,647.76, 3,971.57 and 798.89

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Solution

The fourth proportional to 2,647.76, 3,971.57 and 798.89 is: 1,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.76 : 3,971.57 = 798.89 : x
  2. Step 2: Convert to fraction form
    2,647.76/3,971.57 = 798.89/x
  3. Step 3: Cross multiply
    2,647.76x = 3,971.57 × 798.89
  4. Step 4: Simplify right side
    2,647.76x = 3,172,823.71
  5. Step 5: Solve for x
    x = 3,172,823.71/2,647.76
  6. Step 6: Final answer
    x = 1,198.31

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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.