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Finding the Fourth Proportional to 1,481.99, 2,223.05 and 1,188.14

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Solution

The fourth proportional to 1,481.99, 2,223.05 and 1,188.14 is: 1,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.99 : 2,223.05 = 1,188.14 : x
  2. Step 2: Convert to fraction form
    1,481.99/2,223.05 = 1,188.14/x
  3. Step 3: Cross multiply
    1,481.99x = 2,223.05 × 1,188.14
  4. Step 4: Simplify right side
    1,481.99x = 2,641,277.57
  5. Step 5: Solve for x
    x = 2,641,277.57/1,481.99
  6. Step 6: Final answer
    x = 1,782.26

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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.