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Finding the Fourth Proportional to 2,667.36, 3,682.08 and 1,619.76

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Solution

The fourth proportional to 2,667.36, 3,682.08 and 1,619.76 is: 2,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.36 : 3,682.08 = 1,619.76 : x
  2. Step 2: Convert to fraction form
    2,667.36/3,682.08 = 1,619.76/x
  3. Step 3: Cross multiply
    2,667.36x = 3,682.08 × 1,619.76
  4. Step 4: Simplify right side
    2,667.36x = 5,964,085.90
  5. Step 5: Solve for x
    x = 5,964,085.90/2,667.36
  6. Step 6: Final answer
    x = 2,235.95

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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.