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Finding the Fourth Proportional to 2,647.83, 3,970.81 and 798.47

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Solution

The fourth proportional to 2,647.83, 3,970.81 and 798.47 is: 1,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.83 : 3,970.81 = 798.47 : x
  2. Step 2: Convert to fraction form
    2,647.83/3,970.81 = 798.47/x
  3. Step 3: Cross multiply
    2,647.83x = 3,970.81 × 798.47
  4. Step 4: Simplify right side
    2,647.83x = 3,170,572.66
  5. Step 5: Solve for x
    x = 3,170,572.66/2,647.83
  6. Step 6: Final answer
    x = 1,197.42

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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.