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Finding the Fourth Proportional to 2,416.50, 3,329.83 and 2,285.80

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Solution

The fourth proportional to 2,416.50, 3,329.83 and 2,285.80 is: 3,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.50 : 3,329.83 = 2,285.80 : x
  2. Step 2: Convert to fraction form
    2,416.50/3,329.83 = 2,285.80/x
  3. Step 3: Cross multiply
    2,416.50x = 3,329.83 × 2,285.80
  4. Step 4: Simplify right side
    2,416.50x = 7,611,325.41
  5. Step 5: Solve for x
    x = 7,611,325.41/2,416.50
  6. Step 6: Final answer
    x = 3,149.73

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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.