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Finding the Fourth Proportional to 3,199.49, 4,795.07 and 1,638.17

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Solution

The fourth proportional to 3,199.49, 4,795.07 and 1,638.17 is: 2,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.49 : 4,795.07 = 1,638.17 : x
  2. Step 2: Convert to fraction form
    3,199.49/4,795.07 = 1,638.17/x
  3. Step 3: Cross multiply
    3,199.49x = 4,795.07 × 1,638.17
  4. Step 4: Simplify right side
    3,199.49x = 7,855,107.66
  5. Step 5: Solve for x
    x = 7,855,107.66/3,199.49
  6. Step 6: Final answer
    x = 2,455.12

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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.