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Finding the Fourth Proportional to 3,188.81, 4,782.60 and 1,110.17

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Solution

The fourth proportional to 3,188.81, 4,782.60 and 1,110.17 is: 1,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.81 : 4,782.60 = 1,110.17 : x
  2. Step 2: Convert to fraction form
    3,188.81/4,782.60 = 1,110.17/x
  3. Step 3: Cross multiply
    3,188.81x = 4,782.60 × 1,110.17
  4. Step 4: Simplify right side
    3,188.81x = 5,309,475.13
  5. Step 5: Solve for x
    x = 5,309,475.13/3,188.81
  6. Step 6: Final answer
    x = 1,665.04

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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.