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Finding the Fourth Proportional to 3,190.54, 4,786.06 and 999.27

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Solution

The fourth proportional to 3,190.54, 4,786.06 and 999.27 is: 1,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.54 : 4,786.06 = 999.27 : x
  2. Step 2: Convert to fraction form
    3,190.54/4,786.06 = 999.27/x
  3. Step 3: Cross multiply
    3,190.54x = 4,786.06 × 999.27
  4. Step 4: Simplify right side
    3,190.54x = 4,782,566.18
  5. Step 5: Solve for x
    x = 4,782,566.18/3,190.54
  6. Step 6: Final answer
    x = 1,498.98

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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.