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Finding the Fourth Proportional to 2,965.98, 4,448.96 and 2,785.56

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Solution

The fourth proportional to 2,965.98, 4,448.96 and 2,785.56 is: 4,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.98 : 4,448.96 = 2,785.56 : x
  2. Step 2: Convert to fraction form
    2,965.98/4,448.96 = 2,785.56/x
  3. Step 3: Cross multiply
    2,965.98x = 4,448.96 × 2,785.56
  4. Step 4: Simplify right side
    2,965.98x = 12,392,824.85
  5. Step 5: Solve for x
    x = 12,392,824.85/2,965.98
  6. Step 6: Final answer
    x = 4,178.32

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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.