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Finding the Fourth Proportional to 2,667.33, 3,679.20 and 1,771.05

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Solution

The fourth proportional to 2,667.33, 3,679.20 and 1,771.05 is: 2,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.33 : 3,679.20 = 1,771.05 : x
  2. Step 2: Convert to fraction form
    2,667.33/3,679.20 = 1,771.05/x
  3. Step 3: Cross multiply
    2,667.33x = 3,679.20 × 1,771.05
  4. Step 4: Simplify right side
    2,667.33x = 6,516,047.16
  5. Step 5: Solve for x
    x = 6,516,047.16/2,667.33
  6. Step 6: Final answer
    x = 2,442.91

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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.