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Finding the Fourth Proportional to 2,960.70, 4,441.06 and 2,311.98

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Solution

The fourth proportional to 2,960.70, 4,441.06 and 2,311.98 is: 3,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.70 : 4,441.06 = 2,311.98 : x
  2. Step 2: Convert to fraction form
    2,960.70/4,441.06 = 2,311.98/x
  3. Step 3: Cross multiply
    2,960.70x = 4,441.06 × 2,311.98
  4. Step 4: Simplify right side
    2,960.70x = 10,267,641.90
  5. Step 5: Solve for x
    x = 10,267,641.90/2,960.70
  6. Step 6: Final answer
    x = 3,467.98

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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.