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Finding the Fourth Proportional to 2,847.18, 4,271.39 and 872.82

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Solution

The fourth proportional to 2,847.18, 4,271.39 and 872.82 is: 1,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.18 : 4,271.39 = 872.82 : x
  2. Step 2: Convert to fraction form
    2,847.18/4,271.39 = 872.82/x
  3. Step 3: Cross multiply
    2,847.18x = 4,271.39 × 872.82
  4. Step 4: Simplify right side
    2,847.18x = 3,728,137.51
  5. Step 5: Solve for x
    x = 3,728,137.51/2,847.18
  6. Step 6: Final answer
    x = 1,309.41

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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.