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Finding the Fourth Proportional to 1,628.19, 2,443.31 and 806.51

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Solution

The fourth proportional to 1,628.19, 2,443.31 and 806.51 is: 1,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.19 : 2,443.31 = 806.51 : x
  2. Step 2: Convert to fraction form
    1,628.19/2,443.31 = 806.51/x
  3. Step 3: Cross multiply
    1,628.19x = 2,443.31 × 806.51
  4. Step 4: Simplify right side
    1,628.19x = 1,970,553.95
  5. Step 5: Solve for x
    x = 1,970,553.95/1,628.19
  6. Step 6: Final answer
    x = 1,210.27

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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.