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Finding the Fourth Proportional to 2,846.45, 4,266.03 and 2,195.82

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Solution

The fourth proportional to 2,846.45, 4,266.03 and 2,195.82 is: 3,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.45 : 4,266.03 = 2,195.82 : x
  2. Step 2: Convert to fraction form
    2,846.45/4,266.03 = 2,195.82/x
  3. Step 3: Cross multiply
    2,846.45x = 4,266.03 × 2,195.82
  4. Step 4: Simplify right side
    2,846.45x = 9,367,433.99
  5. Step 5: Solve for x
    x = 9,367,433.99/2,846.45
  6. Step 6: Final answer
    x = 3,290.92

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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.