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Finding the Fourth Proportional to 2,969.18, 4,453.61 and 889.20

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Solution

The fourth proportional to 2,969.18, 4,453.61 and 889.20 is: 1,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.18 : 4,453.61 = 889.20 : x
  2. Step 2: Convert to fraction form
    2,969.18/4,453.61 = 889.20/x
  3. Step 3: Cross multiply
    2,969.18x = 4,453.61 × 889.20
  4. Step 4: Simplify right side
    2,969.18x = 3,960,145.57
  5. Step 5: Solve for x
    x = 3,960,145.57/2,969.18
  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.