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Finding the Fourth Proportional to 1,628.31, 2,246.94 and 920.21

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Solution

The fourth proportional to 1,628.31, 2,246.94 and 920.21 is: 1,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.31 : 2,246.94 = 920.21 : x
  2. Step 2: Convert to fraction form
    1,628.31/2,246.94 = 920.21/x
  3. Step 3: Cross multiply
    1,628.31x = 2,246.94 × 920.21
  4. Step 4: Simplify right side
    1,628.31x = 2,067,663.66
  5. Step 5: Solve for x
    x = 2,067,663.66/1,628.31
  6. Step 6: Final answer
    x = 1,269.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.