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Finding the Fourth Proportional to 3,187.45, 4,782.08 and 996.35

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Solution

The fourth proportional to 3,187.45, 4,782.08 and 996.35 is: 1,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.45 : 4,782.08 = 996.35 : x
  2. Step 2: Convert to fraction form
    3,187.45/4,782.08 = 996.35/x
  3. Step 3: Cross multiply
    3,187.45x = 4,782.08 × 996.35
  4. Step 4: Simplify right side
    3,187.45x = 4,764,603.99
  5. Step 5: Solve for x
    x = 4,764,603.99/3,187.45
  6. Step 6: Final answer
    x = 1,494.80

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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.