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Finding the Fourth Proportional to 2,208.69, 3,048.42 and 1,462.68

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Solution

The fourth proportional to 2,208.69, 3,048.42 and 1,462.68 is: 2,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.69 : 3,048.42 = 1,462.68 : x
  2. Step 2: Convert to fraction form
    2,208.69/3,048.42 = 1,462.68/x
  3. Step 3: Cross multiply
    2,208.69x = 3,048.42 × 1,462.68
  4. Step 4: Simplify right side
    2,208.69x = 4,458,862.97
  5. Step 5: Solve for x
    x = 4,458,862.97/2,208.69
  6. Step 6: Final answer
    x = 2,018.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.