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Finding the Fourth Proportional to 2,505.87, 3,758.43 and 1,578.60

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Solution

The fourth proportional to 2,505.87, 3,758.43 and 1,578.60 is: 2,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.87 : 3,758.43 = 1,578.60 : x
  2. Step 2: Convert to fraction form
    2,505.87/3,758.43 = 1,578.60/x
  3. Step 3: Cross multiply
    2,505.87x = 3,758.43 × 1,578.60
  4. Step 4: Simplify right side
    2,505.87x = 5,933,057.60
  5. Step 5: Solve for x
    x = 5,933,057.60/2,505.87
  6. Step 6: Final answer
    x = 2,367.66

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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.