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Finding the Fourth Proportional to 2,707.36, 3,716.84 and 2,443.84

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Solution

The fourth proportional to 2,707.36, 3,716.84 and 2,443.84 is: 3,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.36 : 3,716.84 = 2,443.84 : x
  2. Step 2: Convert to fraction form
    2,707.36/3,716.84 = 2,443.84/x
  3. Step 3: Cross multiply
    2,707.36x = 3,716.84 × 2,443.84
  4. Step 4: Simplify right side
    2,707.36x = 9,083,362.27
  5. Step 5: Solve for x
    x = 9,083,362.27/2,707.36
  6. Step 6: Final answer
    x = 3,355.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.