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Finding the Fourth Proportional to 2,969.42, 4,453.26 and 889.34

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Solution

The fourth proportional to 2,969.42, 4,453.26 and 889.34 is: 1,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.42 : 4,453.26 = 889.34 : x
  2. Step 2: Convert to fraction form
    2,969.42/4,453.26 = 889.34/x
  3. Step 3: Cross multiply
    2,969.42x = 4,453.26 × 889.34
  4. Step 4: Simplify right side
    2,969.42x = 3,960,462.25
  5. Step 5: Solve for x
    x = 3,960,462.25/2,969.42
  6. Step 6: Final answer
    x = 1,333.75

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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.