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Finding the Fourth Proportional to 2,667.04, 3,679.54 and 1,604.40

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Solution

The fourth proportional to 2,667.04, 3,679.54 and 1,604.40 is: 2,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.04 : 3,679.54 = 1,604.40 : x
  2. Step 2: Convert to fraction form
    2,667.04/3,679.54 = 1,604.40/x
  3. Step 3: Cross multiply
    2,667.04x = 3,679.54 × 1,604.40
  4. Step 4: Simplify right side
    2,667.04x = 5,903,453.98
  5. Step 5: Solve for x
    x = 5,903,453.98/2,667.04
  6. Step 6: Final answer
    x = 2,213.49

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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.