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Finding the Fourth Proportional to 2,667.12, 3,680.52 and 1,605.54

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Solution

The fourth proportional to 2,667.12, 3,680.52 and 1,605.54 is: 2,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.12 : 3,680.52 = 1,605.54 : x
  2. Step 2: Convert to fraction form
    2,667.12/3,680.52 = 1,605.54/x
  3. Step 3: Cross multiply
    2,667.12x = 3,680.52 × 1,605.54
  4. Step 4: Simplify right side
    2,667.12x = 5,909,222.08
  5. Step 5: Solve for x
    x = 5,909,222.08/2,667.12
  6. Step 6: Final answer
    x = 2,215.58

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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.