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Finding the Fourth Proportional to 2,754.50, 4,130.94 and 806.24

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Solution

The fourth proportional to 2,754.50, 4,130.94 and 806.24 is: 1,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.50 : 4,130.94 = 806.24 : x
  2. Step 2: Convert to fraction form
    2,754.50/4,130.94 = 806.24/x
  3. Step 3: Cross multiply
    2,754.50x = 4,130.94 × 806.24
  4. Step 4: Simplify right side
    2,754.50x = 3,330,529.07
  5. Step 5: Solve for x
    x = 3,330,529.07/2,754.50
  6. Step 6: Final answer
    x = 1,209.12

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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.