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Finding the Fourth Proportional to 2,378.82, 3,568.74 and 1,208.98

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Solution

The fourth proportional to 2,378.82, 3,568.74 and 1,208.98 is: 1,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.82 : 3,568.74 = 1,208.98 : x
  2. Step 2: Convert to fraction form
    2,378.82/3,568.74 = 1,208.98/x
  3. Step 3: Cross multiply
    2,378.82x = 3,568.74 × 1,208.98
  4. Step 4: Simplify right side
    2,378.82x = 4,314,535.29
  5. Step 5: Solve for x
    x = 4,314,535.29/2,378.82
  6. Step 6: Final answer
    x = 1,813.73

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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.