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Finding the Fourth Proportional to 3,190.16, 4,783.16 and 1,110

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Solution

The fourth proportional to 3,190.16, 4,783.16 and 1,110 is: 1,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.16 : 4,783.16 = 1,110 : x
  2. Step 2: Convert to fraction form
    3,190.16/4,783.16 = 1,110/x
  3. Step 3: Cross multiply
    3,190.16x = 4,783.16 × 1,110
  4. Step 4: Simplify right side
    3,190.16x = 5,309,302.05
  5. Step 5: Solve for x
    x = 5,309,302.05/3,190.16
  6. Step 6: Final answer
    x = 1,664.28

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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.