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Finding the Fourth Proportional to 2,468.50, 3,407.11 and 1,629.36

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Solution

The fourth proportional to 2,468.50, 3,407.11 and 1,629.36 is: 2,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.50 : 3,407.11 = 1,629.36 : x
  2. Step 2: Convert to fraction form
    2,468.50/3,407.11 = 1,629.36/x
  3. Step 3: Cross multiply
    2,468.50x = 3,407.11 × 1,629.36
  4. Step 4: Simplify right side
    2,468.50x = 5,551,408.75
  5. Step 5: Solve for x
    x = 5,551,408.75/2,468.50
  6. Step 6: Final answer
    x = 2,248.90

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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.