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Finding the Fourth Proportional to 2,583.90, 3,874.23 and 939.87

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Solution

The fourth proportional to 2,583.90, 3,874.23 and 939.87 is: 1,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.90 : 3,874.23 = 939.87 : x
  2. Step 2: Convert to fraction form
    2,583.90/3,874.23 = 939.87/x
  3. Step 3: Cross multiply
    2,583.90x = 3,874.23 × 939.87
  4. Step 4: Simplify right side
    2,583.90x = 3,641,272.55
  5. Step 5: Solve for x
    x = 3,641,272.55/2,583.90
  6. Step 6: Final answer
    x = 1,409.22

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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.