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Finding the Fourth Proportional to 2,963.40, 4,441.62 and 2,230.60

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Solution

The fourth proportional to 2,963.40, 4,441.62 and 2,230.60 is: 3,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.40 : 4,441.62 = 2,230.60 : x
  2. Step 2: Convert to fraction form
    2,963.40/4,441.62 = 2,230.60/x
  3. Step 3: Cross multiply
    2,963.40x = 4,441.62 × 2,230.60
  4. Step 4: Simplify right side
    2,963.40x = 9,907,477.57
  5. Step 5: Solve for x
    x = 9,907,477.57/2,963.40
  6. Step 6: Final answer
    x = 3,343.28

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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.