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Finding the Fourth Proportional to 1,950.08, 2,922.72 and 1,083.20

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Solution

The fourth proportional to 1,950.08, 2,922.72 and 1,083.20 is: 1,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.08 : 2,922.72 = 1,083.20 : x
  2. Step 2: Convert to fraction form
    1,950.08/2,922.72 = 1,083.20/x
  3. Step 3: Cross multiply
    1,950.08x = 2,922.72 × 1,083.20
  4. Step 4: Simplify right side
    1,950.08x = 3,165,890.30
  5. Step 5: Solve for x
    x = 3,165,890.30/1,950.08
  6. Step 6: Final answer
    x = 1,623.47

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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.