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Finding the Fourth Proportional to 3,121.61, 4,676.94 and 2,782.62

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Solution

The fourth proportional to 3,121.61, 4,676.94 and 2,782.62 is: 4,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.61 : 4,676.94 = 2,782.62 : x
  2. Step 2: Convert to fraction form
    3,121.61/4,676.94 = 2,782.62/x
  3. Step 3: Cross multiply
    3,121.61x = 4,676.94 × 2,782.62
  4. Step 4: Simplify right side
    3,121.61x = 13,014,146.78
  5. Step 5: Solve for x
    x = 13,014,146.78/3,121.61
  6. Step 6: Final answer
    x = 4,169.06

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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.