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Finding the Fourth Proportional to 2,583.88, 3,873.53 and 940.12

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Solution

The fourth proportional to 2,583.88, 3,873.53 and 940.12 is: 1,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.88 : 3,873.53 = 940.12 : x
  2. Step 2: Convert to fraction form
    2,583.88/3,873.53 = 940.12/x
  3. Step 3: Cross multiply
    2,583.88x = 3,873.53 × 940.12
  4. Step 4: Simplify right side
    2,583.88x = 3,641,578.32
  5. Step 5: Solve for x
    x = 3,641,578.32/2,583.88
  6. Step 6: Final answer
    x = 1,409.34

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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.