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Finding the Fourth Proportional to 2,578.80, 3,865.44 and 1,190.52

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Solution

The fourth proportional to 2,578.80, 3,865.44 and 1,190.52 is: 1,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.80 : 3,865.44 = 1,190.52 : x
  2. Step 2: Convert to fraction form
    2,578.80/3,865.44 = 1,190.52/x
  3. Step 3: Cross multiply
    2,578.80x = 3,865.44 × 1,190.52
  4. Step 4: Simplify right side
    2,578.80x = 4,601,883.63
  5. Step 5: Solve for x
    x = 4,601,883.63/2,578.80
  6. Step 6: Final answer
    x = 1,784.51

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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.