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Finding the Fourth Proportional to 2,667.06, 3,680.10 and 1,548.18

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Solution

The fourth proportional to 2,667.06, 3,680.10 and 1,548.18 is: 2,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.06 : 3,680.10 = 1,548.18 : x
  2. Step 2: Convert to fraction form
    2,667.06/3,680.10 = 1,548.18/x
  3. Step 3: Cross multiply
    2,667.06x = 3,680.10 × 1,548.18
  4. Step 4: Simplify right side
    2,667.06x = 5,697,457.22
  5. Step 5: Solve for x
    x = 5,697,457.22/2,667.06
  6. Step 6: Final answer
    x = 2,136.23

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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.