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Finding the Fourth Proportional to 1,628.07, 2,246.22 and 998.43

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Solution

The fourth proportional to 1,628.07, 2,246.22 and 998.43 is: 1,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.07 : 2,246.22 = 998.43 : x
  2. Step 2: Convert to fraction form
    1,628.07/2,246.22 = 998.43/x
  3. Step 3: Cross multiply
    1,628.07x = 2,246.22 × 998.43
  4. Step 4: Simplify right side
    1,628.07x = 2,242,693.43
  5. Step 5: Solve for x
    x = 2,242,693.43/1,628.07
  6. Step 6: Final answer
    x = 1,377.52

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