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Finding the Fourth Proportional to 2,698.09, 3,722.56 and 1,636.25

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Solution

The fourth proportional to 2,698.09, 3,722.56 and 1,636.25 is: 2,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.09 : 3,722.56 = 1,636.25 : x
  2. Step 2: Convert to fraction form
    2,698.09/3,722.56 = 1,636.25/x
  3. Step 3: Cross multiply
    2,698.09x = 3,722.56 × 1,636.25
  4. Step 4: Simplify right side
    2,698.09x = 6,091,016.10
  5. Step 5: Solve for x
    x = 6,091,016.10/2,698.09
  6. Step 6: Final answer
    x = 2,257.53

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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.