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Finding the Fourth Proportional to 2,835.89, 4,255.77 and 986.99

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Solution

The fourth proportional to 2,835.89, 4,255.77 and 986.99 is: 1,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.89 : 4,255.77 = 986.99 : x
  2. Step 2: Convert to fraction form
    2,835.89/4,255.77 = 986.99/x
  3. Step 3: Cross multiply
    2,835.89x = 4,255.77 × 986.99
  4. Step 4: Simplify right side
    2,835.89x = 4,200,384.85
  5. Step 5: Solve for x
    x = 4,200,384.85/2,835.89
  6. Step 6: Final answer
    x = 1,481.15

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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.