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Finding the Fourth Proportional to 2,642.87, 3,647.81 and 1,581.26

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Solution

The fourth proportional to 2,642.87, 3,647.81 and 1,581.26 is: 2,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.87 : 3,647.81 = 1,581.26 : x
  2. Step 2: Convert to fraction form
    2,642.87/3,647.81 = 1,581.26/x
  3. Step 3: Cross multiply
    2,642.87x = 3,647.81 × 1,581.26
  4. Step 4: Simplify right side
    2,642.87x = 5,768,142.27
  5. Step 5: Solve for x
    x = 5,768,142.27/2,642.87
  6. Step 6: Final answer
    x = 2,182.53

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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.