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Finding the Fourth Proportional to 3,222.94, 4,832.90 and 1,889.14

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Solution

The fourth proportional to 3,222.94, 4,832.90 and 1,889.14 is: 2,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.94 : 4,832.90 = 1,889.14 : x
  2. Step 2: Convert to fraction form
    3,222.94/4,832.90 = 1,889.14/x
  3. Step 3: Cross multiply
    3,222.94x = 4,832.90 × 1,889.14
  4. Step 4: Simplify right side
    3,222.94x = 9,130,024.71
  5. Step 5: Solve for x
    x = 9,130,024.71/3,222.94
  6. Step 6: Final answer
    x = 2,832.82

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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.