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Finding the Fourth Proportional to 2,909.75, 4,013.34 and 1,789.20

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Solution

The fourth proportional to 2,909.75, 4,013.34 and 1,789.20 is: 2,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.75 : 4,013.34 = 1,789.20 : x
  2. Step 2: Convert to fraction form
    2,909.75/4,013.34 = 1,789.20/x
  3. Step 3: Cross multiply
    2,909.75x = 4,013.34 × 1,789.20
  4. Step 4: Simplify right side
    2,909.75x = 7,180,667.93
  5. Step 5: Solve for x
    x = 7,180,667.93/2,909.75
  6. Step 6: Final answer
    x = 2,467.80

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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.