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Finding the Fourth Proportional to 2,647.59, 3,971.43 and 798.76

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Solution

The fourth proportional to 2,647.59, 3,971.43 and 798.76 is: 1,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.59 : 3,971.43 = 798.76 : x
  2. Step 2: Convert to fraction form
    2,647.59/3,971.43 = 798.76/x
  3. Step 3: Cross multiply
    2,647.59x = 3,971.43 × 798.76
  4. Step 4: Simplify right side
    2,647.59x = 3,172,224.39
  5. Step 5: Solve for x
    x = 3,172,224.39/2,647.59
  6. Step 6: Final answer
    x = 1,198.16

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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.