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Finding the Fourth Proportional to 2,769.84, 4,149.72 and 1,533.24

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Solution

The fourth proportional to 2,769.84, 4,149.72 and 1,533.24 is: 2,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.84 : 4,149.72 = 1,533.24 : x
  2. Step 2: Convert to fraction form
    2,769.84/4,149.72 = 1,533.24/x
  3. Step 3: Cross multiply
    2,769.84x = 4,149.72 × 1,533.24
  4. Step 4: Simplify right side
    2,769.84x = 6,362,516.69
  5. Step 5: Solve for x
    x = 6,362,516.69/2,769.84
  6. Step 6: Final answer
    x = 2,297.07

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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.