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Finding the Fourth Proportional to 2,739.92, 4,099.50 and 1,667.36

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Solution

The fourth proportional to 2,739.92, 4,099.50 and 1,667.36 is: 2,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.92 : 4,099.50 = 1,667.36 : x
  2. Step 2: Convert to fraction form
    2,739.92/4,099.50 = 1,667.36/x
  3. Step 3: Cross multiply
    2,739.92x = 4,099.50 × 1,667.36
  4. Step 4: Simplify right side
    2,739.92x = 6,835,342.32
  5. Step 5: Solve for x
    x = 6,835,342.32/2,739.92
  6. Step 6: Final answer
    x = 2,494.72

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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.