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Finding the Fourth Proportional to 2,448.44, 3,672.93 and 889.17

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Solution

The fourth proportional to 2,448.44, 3,672.93 and 889.17 is: 1,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.44 : 3,672.93 = 889.17 : x
  2. Step 2: Convert to fraction form
    2,448.44/3,672.93 = 889.17/x
  3. Step 3: Cross multiply
    2,448.44x = 3,672.93 × 889.17
  4. Step 4: Simplify right side
    2,448.44x = 3,265,859.17
  5. Step 5: Solve for x
    x = 3,265,859.17/2,448.44
  6. Step 6: Final answer
    x = 1,333.86

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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.