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Finding the Fourth Proportional to 3,131.81, 4,322 and 1,805.57

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Solution

The fourth proportional to 3,131.81, 4,322 and 1,805.57 is: 2,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.81 : 4,322 = 1,805.57 : x
  2. Step 2: Convert to fraction form
    3,131.81/4,322 = 1,805.57/x
  3. Step 3: Cross multiply
    3,131.81x = 4,322 × 1,805.57
  4. Step 4: Simplify right side
    3,131.81x = 7,803,673.54
  5. Step 5: Solve for x
    x = 7,803,673.54/3,131.81
  6. Step 6: Final answer
    x = 2,491.75

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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.