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Finding the Fourth Proportional to 3,257.78, 4,886.67 and 1,408.55

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Solution

The fourth proportional to 3,257.78, 4,886.67 and 1,408.55 is: 2,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.78 : 4,886.67 = 1,408.55 : x
  2. Step 2: Convert to fraction form
    3,257.78/4,886.67 = 1,408.55/x
  3. Step 3: Cross multiply
    3,257.78x = 4,886.67 × 1,408.55
  4. Step 4: Simplify right side
    3,257.78x = 6,883,119.03
  5. Step 5: Solve for x
    x = 6,883,119.03/3,257.78
  6. Step 6: Final answer
    x = 2,112.83

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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.