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Finding the Fourth Proportional to 1,901.40, 2,604.24 and 1,789.30

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Solution

The fourth proportional to 1,901.40, 2,604.24 and 1,789.30 is: 2,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.40 : 2,604.24 = 1,789.30 : x
  2. Step 2: Convert to fraction form
    1,901.40/2,604.24 = 1,789.30/x
  3. Step 3: Cross multiply
    1,901.40x = 2,604.24 × 1,789.30
  4. Step 4: Simplify right side
    1,901.40x = 4,659,766.63
  5. Step 5: Solve for x
    x = 4,659,766.63/1,901.40
  6. Step 6: Final answer
    x = 2,450.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.