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Finding the Fourth Proportional to 1,950.57, 2,922.34 and 1,072.12

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Solution

The fourth proportional to 1,950.57, 2,922.34 and 1,072.12 is: 1,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.57 : 2,922.34 = 1,072.12 : x
  2. Step 2: Convert to fraction form
    1,950.57/2,922.34 = 1,072.12/x
  3. Step 3: Cross multiply
    1,950.57x = 2,922.34 × 1,072.12
  4. Step 4: Simplify right side
    1,950.57x = 3,133,099.16
  5. Step 5: Solve for x
    x = 3,133,099.16/1,950.57
  6. Step 6: Final answer
    x = 1,606.25

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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.