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Finding the Fourth Proportional to 2,667.24, 3,679.11 and 1,724.22

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Solution

The fourth proportional to 2,667.24, 3,679.11 and 1,724.22 is: 2,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.24 : 3,679.11 = 1,724.22 : x
  2. Step 2: Convert to fraction form
    2,667.24/3,679.11 = 1,724.22/x
  3. Step 3: Cross multiply
    2,667.24x = 3,679.11 × 1,724.22
  4. Step 4: Simplify right side
    2,667.24x = 6,343,595.04
  5. Step 5: Solve for x
    x = 6,343,595.04/2,667.24
  6. Step 6: Final answer
    x = 2,378.34

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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.