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Finding the Fourth Proportional to 2,769.08, 4,153.50 and 689.04

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Solution

The fourth proportional to 2,769.08, 4,153.50 and 689.04 is: 1,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.08 : 4,153.50 = 689.04 : x
  2. Step 2: Convert to fraction form
    2,769.08/4,153.50 = 689.04/x
  3. Step 3: Cross multiply
    2,769.08x = 4,153.50 × 689.04
  4. Step 4: Simplify right side
    2,769.08x = 2,861,927.64
  5. Step 5: Solve for x
    x = 2,861,927.64/2,769.08
  6. Step 6: Final answer
    x = 1,033.53

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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.