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Finding the Fourth Proportional to 3,188.70, 4,782.78 and 1,108.17

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Solution

The fourth proportional to 3,188.70, 4,782.78 and 1,108.17 is: 1,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.70 : 4,782.78 = 1,108.17 : x
  2. Step 2: Convert to fraction form
    3,188.70/4,782.78 = 1,108.17/x
  3. Step 3: Cross multiply
    3,188.70x = 4,782.78 × 1,108.17
  4. Step 4: Simplify right side
    3,188.70x = 5,300,133.31
  5. Step 5: Solve for x
    x = 5,300,133.31/3,188.70
  6. Step 6: Final answer
    x = 1,662.16

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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.