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Finding the Fourth Proportional to 2,974.94, 4,105.50 and 1,630.63

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Solution

The fourth proportional to 2,974.94, 4,105.50 and 1,630.63 is: 2,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.94 : 4,105.50 = 1,630.63 : x
  2. Step 2: Convert to fraction form
    2,974.94/4,105.50 = 1,630.63/x
  3. Step 3: Cross multiply
    2,974.94x = 4,105.50 × 1,630.63
  4. Step 4: Simplify right side
    2,974.94x = 6,694,559.65
  5. Step 5: Solve for x
    x = 6,694,559.65/2,974.94
  6. Step 6: Final answer
    x = 2,250.31

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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.