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Finding the Fourth Proportional to 3,188.81, 4,782.06 and 1,108.26

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Solution

The fourth proportional to 3,188.81, 4,782.06 and 1,108.26 is: 1,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.81 : 4,782.06 = 1,108.26 : x
  2. Step 2: Convert to fraction form
    3,188.81/4,782.06 = 1,108.26/x
  3. Step 3: Cross multiply
    3,188.81x = 4,782.06 × 1,108.26
  4. Step 4: Simplify right side
    3,188.81x = 5,299,765.82
  5. Step 5: Solve for x
    x = 5,299,765.82/3,188.81
  6. Step 6: Final answer
    x = 1,661.99

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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.