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Finding the Fourth Proportional to 2,969.04, 4,453.50 and 889.05

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Solution

The fourth proportional to 2,969.04, 4,453.50 and 889.05 is: 1,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.04 : 4,453.50 = 889.05 : x
  2. Step 2: Convert to fraction form
    2,969.04/4,453.50 = 889.05/x
  3. Step 3: Cross multiply
    2,969.04x = 4,453.50 × 889.05
  4. Step 4: Simplify right side
    2,969.04x = 3,959,384.18
  5. Step 5: Solve for x
    x = 3,959,384.18/2,969.04
  6. Step 6: Final answer
    x = 1,333.56

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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.