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Finding the Fourth Proportional to 2,667.90, 3,999.45 and 1,743.90

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Solution

The fourth proportional to 2,667.90, 3,999.45 and 1,743.90 is: 2,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.90 : 3,999.45 = 1,743.90 : x
  2. Step 2: Convert to fraction form
    2,667.90/3,999.45 = 1,743.90/x
  3. Step 3: Cross multiply
    2,667.90x = 3,999.45 × 1,743.90
  4. Step 4: Simplify right side
    2,667.90x = 6,974,640.86
  5. Step 5: Solve for x
    x = 6,974,640.86/2,667.90
  6. Step 6: Final answer
    x = 2,614.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.