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Finding the Fourth Proportional to 3,199.45, 4,801.20 and 1,883.20

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Solution

The fourth proportional to 3,199.45, 4,801.20 and 1,883.20 is: 2,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.45 : 4,801.20 = 1,883.20 : x
  2. Step 2: Convert to fraction form
    3,199.45/4,801.20 = 1,883.20/x
  3. Step 3: Cross multiply
    3,199.45x = 4,801.20 × 1,883.20
  4. Step 4: Simplify right side
    3,199.45x = 9,041,619.84
  5. Step 5: Solve for x
    x = 9,041,619.84/3,199.45
  6. Step 6: Final answer
    x = 2,825.99

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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.