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Finding the Fourth Proportional to 2,969.14, 4,454.52 and 889.24

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Solution

The fourth proportional to 2,969.14, 4,454.52 and 889.24 is: 1,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.14 : 4,454.52 = 889.24 : x
  2. Step 2: Convert to fraction form
    2,969.14/4,454.52 = 889.24/x
  3. Step 3: Cross multiply
    2,969.14x = 4,454.52 × 889.24
  4. Step 4: Simplify right side
    2,969.14x = 3,961,137.36
  5. Step 5: Solve for x
    x = 3,961,137.36/2,969.14
  6. Step 6: Final answer
    x = 1,334.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.