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Finding the Fourth Proportional to 1,445.44, 2,166.13 and 828.22

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Solution

The fourth proportional to 1,445.44, 2,166.13 and 828.22 is: 1,241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.44 : 2,166.13 = 828.22 : x
  2. Step 2: Convert to fraction form
    1,445.44/2,166.13 = 828.22/x
  3. Step 3: Cross multiply
    1,445.44x = 2,166.13 × 828.22
  4. Step 4: Simplify right side
    1,445.44x = 1,794,032.19
  5. Step 5: Solve for x
    x = 1,794,032.19/1,445.44
  6. Step 6: Final answer
    x = 1,241.17

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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.