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Finding the Fourth Proportional to 2,840.90, 3,920.49 and 1,581.98

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Solution

The fourth proportional to 2,840.90, 3,920.49 and 1,581.98 is: 2,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.90 : 3,920.49 = 1,581.98 : x
  2. Step 2: Convert to fraction form
    2,840.90/3,920.49 = 1,581.98/x
  3. Step 3: Cross multiply
    2,840.90x = 3,920.49 × 1,581.98
  4. Step 4: Simplify right side
    2,840.90x = 6,202,136.77
  5. Step 5: Solve for x
    x = 6,202,136.77/2,840.90
  6. Step 6: Final answer
    x = 2,183.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.