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Finding the Fourth Proportional to 2,667.47, 3,680.65 and 1,548.15

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Solution

The fourth proportional to 2,667.47, 3,680.65 and 1,548.15 is: 2,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.47 : 3,680.65 = 1,548.15 : x
  2. Step 2: Convert to fraction form
    2,667.47/3,680.65 = 1,548.15/x
  3. Step 3: Cross multiply
    2,667.47x = 3,680.65 × 1,548.15
  4. Step 4: Simplify right side
    2,667.47x = 5,698,198.30
  5. Step 5: Solve for x
    x = 5,698,198.30/2,667.47
  6. Step 6: Final answer
    x = 2,136.18

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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.