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Finding the Fourth Proportional to 2,074.88, 2,863.52 and 1,190.97

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Solution

The fourth proportional to 2,074.88, 2,863.52 and 1,190.97 is: 1,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.88 : 2,863.52 = 1,190.97 : x
  2. Step 2: Convert to fraction form
    2,074.88/2,863.52 = 1,190.97/x
  3. Step 3: Cross multiply
    2,074.88x = 2,863.52 × 1,190.97
  4. Step 4: Simplify right side
    2,074.88x = 3,410,364.93
  5. Step 5: Solve for x
    x = 3,410,364.93/2,074.88
  6. Step 6: Final answer
    x = 1,643.64

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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.