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Finding the Fourth Proportional to 1,780.88, 2,667.44 and 1,469.24

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Solution

The fourth proportional to 1,780.88, 2,667.44 and 1,469.24 is: 2,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.88 : 2,667.44 = 1,469.24 : x
  2. Step 2: Convert to fraction form
    1,780.88/2,667.44 = 1,469.24/x
  3. Step 3: Cross multiply
    1,780.88x = 2,667.44 × 1,469.24
  4. Step 4: Simplify right side
    1,780.88x = 3,919,109.55
  5. Step 5: Solve for x
    x = 3,919,109.55/1,780.88
  6. Step 6: Final answer
    x = 2,200.66

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