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Finding the Fourth Proportional to 2,583.69, 3,874.53 and 1,101.97

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Solution

The fourth proportional to 2,583.69, 3,874.53 and 1,101.97 is: 1,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.69 : 3,874.53 = 1,101.97 : x
  2. Step 2: Convert to fraction form
    2,583.69/3,874.53 = 1,101.97/x
  3. Step 3: Cross multiply
    2,583.69x = 3,874.53 × 1,101.97
  4. Step 4: Simplify right side
    2,583.69x = 4,269,615.82
  5. Step 5: Solve for x
    x = 4,269,615.82/2,583.69
  6. Step 6: Final answer
    x = 1,652.53

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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.