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Finding the Fourth Proportional to 3,199.20, 4,799.23 and 1,640.01

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Solution

The fourth proportional to 3,199.20, 4,799.23 and 1,640.01 is: 2,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.20 : 4,799.23 = 1,640.01 : x
  2. Step 2: Convert to fraction form
    3,199.20/4,799.23 = 1,640.01/x
  3. Step 3: Cross multiply
    3,199.20x = 4,799.23 × 1,640.01
  4. Step 4: Simplify right side
    3,199.20x = 7,870,808.31
  5. Step 5: Solve for x
    x = 7,870,808.31/3,199.20
  6. Step 6: Final answer
    x = 2,460.25

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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.