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Finding the Fourth Proportional to 2,262.44, 3,388.64 and 1,738.58

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Solution

The fourth proportional to 2,262.44, 3,388.64 and 1,738.58 is: 2,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.44 : 3,388.64 = 1,738.58 : x
  2. Step 2: Convert to fraction form
    2,262.44/3,388.64 = 1,738.58/x
  3. Step 3: Cross multiply
    2,262.44x = 3,388.64 × 1,738.58
  4. Step 4: Simplify right side
    2,262.44x = 5,891,413.04
  5. Step 5: Solve for x
    x = 5,891,413.04/2,262.44
  6. Step 6: Final answer
    x = 2,604.01

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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.