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Finding the Fourth Proportional to 2,448.36, 3,679.83 and 2,267.33

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Solution

The fourth proportional to 2,448.36, 3,679.83 and 2,267.33 is: 3,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.36 : 3,679.83 = 2,267.33 : x
  2. Step 2: Convert to fraction form
    2,448.36/3,679.83 = 2,267.33/x
  3. Step 3: Cross multiply
    2,448.36x = 3,679.83 × 2,267.33
  4. Step 4: Simplify right side
    2,448.36x = 8,343,370.55
  5. Step 5: Solve for x
    x = 8,343,370.55/2,448.36
  6. Step 6: Final answer
    x = 3,407.74

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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.