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Finding the Fourth Proportional to 2,491.83, 3,738.08 and 1,322.43

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Solution

The fourth proportional to 2,491.83, 3,738.08 and 1,322.43 is: 1,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.83 : 3,738.08 = 1,322.43 : x
  2. Step 2: Convert to fraction form
    2,491.83/3,738.08 = 1,322.43/x
  3. Step 3: Cross multiply
    2,491.83x = 3,738.08 × 1,322.43
  4. Step 4: Simplify right side
    2,491.83x = 4,943,342.52
  5. Step 5: Solve for x
    x = 4,943,342.52/2,491.83
  6. Step 6: Final answer
    x = 1,983.82

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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.