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Finding the Fourth Proportional to 1,630.30, 2,441.70 and 1,338.70

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Solution

The fourth proportional to 1,630.30, 2,441.70 and 1,338.70 is: 2,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.30 : 2,441.70 = 1,338.70 : x
  2. Step 2: Convert to fraction form
    1,630.30/2,441.70 = 1,338.70/x
  3. Step 3: Cross multiply
    1,630.30x = 2,441.70 × 1,338.70
  4. Step 4: Simplify right side
    1,630.30x = 3,268,703.79
  5. Step 5: Solve for x
    x = 3,268,703.79/1,630.30
  6. Step 6: Final answer
    x = 2,004.97

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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.