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Finding the Fourth Proportional to 3,201.94, 4,803.17 and 1,121.89

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Solution

The fourth proportional to 3,201.94, 4,803.17 and 1,121.89 is: 1,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.94 : 4,803.17 = 1,121.89 : x
  2. Step 2: Convert to fraction form
    3,201.94/4,803.17 = 1,121.89/x
  3. Step 3: Cross multiply
    3,201.94x = 4,803.17 × 1,121.89
  4. Step 4: Simplify right side
    3,201.94x = 5,388,598.77
  5. Step 5: Solve for x
    x = 5,388,598.77/3,201.94
  6. Step 6: Final answer
    x = 1,682.92

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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.