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Finding the Fourth Proportional to 2,667.61, 3,680.69 and 1,605.09

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Solution

The fourth proportional to 2,667.61, 3,680.69 and 1,605.09 is: 2,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.61 : 3,680.69 = 1,605.09 : x
  2. Step 2: Convert to fraction form
    2,667.61/3,680.69 = 1,605.09/x
  3. Step 3: Cross multiply
    2,667.61x = 3,680.69 × 1,605.09
  4. Step 4: Simplify right side
    2,667.61x = 5,907,838.71
  5. Step 5: Solve for x
    x = 5,907,838.71/2,667.61
  6. Step 6: Final answer
    x = 2,214.66

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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.