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Finding the Fourth Proportional to 1,467.48, 2,202.03 and 818.67

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Solution

The fourth proportional to 1,467.48, 2,202.03 and 818.67 is: 1,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.48 : 2,202.03 = 818.67 : x
  2. Step 2: Convert to fraction form
    1,467.48/2,202.03 = 818.67/x
  3. Step 3: Cross multiply
    1,467.48x = 2,202.03 × 818.67
  4. Step 4: Simplify right side
    1,467.48x = 1,802,735.90
  5. Step 5: Solve for x
    x = 1,802,735.90/1,467.48
  6. Step 6: Final answer
    x = 1,228.46

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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.