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Finding the Fourth Proportional to 2,754.02, 4,131.99 and 806.51

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Solution

The fourth proportional to 2,754.02, 4,131.99 and 806.51 is: 1,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.02 : 4,131.99 = 806.51 : x
  2. Step 2: Convert to fraction form
    2,754.02/4,131.99 = 806.51/x
  3. Step 3: Cross multiply
    2,754.02x = 4,131.99 × 806.51
  4. Step 4: Simplify right side
    2,754.02x = 3,332,501.58
  5. Step 5: Solve for x
    x = 3,332,501.58/2,754.02
  6. Step 6: Final answer
    x = 1,210.05

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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.