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Finding the Fourth Proportional to 2,440.94, 3,661.36 and 685.92

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Solution

The fourth proportional to 2,440.94, 3,661.36 and 685.92 is: 1,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.94 : 3,661.36 = 685.92 : x
  2. Step 2: Convert to fraction form
    2,440.94/3,661.36 = 685.92/x
  3. Step 3: Cross multiply
    2,440.94x = 3,661.36 × 685.92
  4. Step 4: Simplify right side
    2,440.94x = 2,511,412.07
  5. Step 5: Solve for x
    x = 2,511,412.07/2,440.94
  6. Step 6: Final answer
    x = 1,028.87

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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.