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Finding the Fourth Proportional to 3,146.85, 4,340.74 and 2,263.85

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Solution

The fourth proportional to 3,146.85, 4,340.74 and 2,263.85 is: 3,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.85 : 4,340.74 = 2,263.85 : x
  2. Step 2: Convert to fraction form
    3,146.85/4,340.74 = 2,263.85/x
  3. Step 3: Cross multiply
    3,146.85x = 4,340.74 × 2,263.85
  4. Step 4: Simplify right side
    3,146.85x = 9,826,777.41
  5. Step 5: Solve for x
    x = 9,826,777.41/3,146.85
  6. Step 6: Final answer
    x = 3,122.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.