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Finding the Fourth Proportional to 2,667.89, 3,680.70 and 1,548.65

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Solution

The fourth proportional to 2,667.89, 3,680.70 and 1,548.65 is: 2,136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.89 : 3,680.70 = 1,548.65 : x
  2. Step 2: Convert to fraction form
    2,667.89/3,680.70 = 1,548.65/x
  3. Step 3: Cross multiply
    2,667.89x = 3,680.70 × 1,548.65
  4. Step 4: Simplify right side
    2,667.89x = 5,700,116.06
  5. Step 5: Solve for x
    x = 5,700,116.06/2,667.89
  6. Step 6: Final answer
    x = 2,136.56

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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.