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Finding the Fourth Proportional to 1,763.48, 2,639.82 and 1,578.44

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Solution

The fourth proportional to 1,763.48, 2,639.82 and 1,578.44 is: 2,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.48 : 2,639.82 = 1,578.44 : x
  2. Step 2: Convert to fraction form
    1,763.48/2,639.82 = 1,578.44/x
  3. Step 3: Cross multiply
    1,763.48x = 2,639.82 × 1,578.44
  4. Step 4: Simplify right side
    1,763.48x = 4,166,797.48
  5. Step 5: Solve for x
    x = 4,166,797.48/1,763.48
  6. Step 6: Final answer
    x = 2,362.83

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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.