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Finding the Fourth Proportional to 3,119.44, 4,679.16 and 810.92

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Solution

The fourth proportional to 3,119.44, 4,679.16 and 810.92 is: 1,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.44 : 4,679.16 = 810.92 : x
  2. Step 2: Convert to fraction form
    3,119.44/4,679.16 = 810.92/x
  3. Step 3: Cross multiply
    3,119.44x = 4,679.16 × 810.92
  4. Step 4: Simplify right side
    3,119.44x = 3,794,424.43
  5. Step 5: Solve for x
    x = 3,794,424.43/3,119.44
  6. Step 6: Final answer
    x = 1,216.38

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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.