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Finding the Fourth Proportional to 2,667.16, 3,680.88 and 1,548.40

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Solution

The fourth proportional to 2,667.16, 3,680.88 and 1,548.40 is: 2,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.16 : 3,680.88 = 1,548.40 : x
  2. Step 2: Convert to fraction form
    2,667.16/3,680.88 = 1,548.40/x
  3. Step 3: Cross multiply
    2,667.16x = 3,680.88 × 1,548.40
  4. Step 4: Simplify right side
    2,667.16x = 5,699,474.59
  5. Step 5: Solve for x
    x = 5,699,474.59/2,667.16
  6. Step 6: Final answer
    x = 2,136.91

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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.