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Finding the Fourth Proportional to 2,698.69, 3,723.28 and 1,636.17

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Solution

The fourth proportional to 2,698.69, 3,723.28 and 1,636.17 is: 2,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.69 : 3,723.28 = 1,636.17 : x
  2. Step 2: Convert to fraction form
    2,698.69/3,723.28 = 1,636.17/x
  3. Step 3: Cross multiply
    2,698.69x = 3,723.28 × 1,636.17
  4. Step 4: Simplify right side
    2,698.69x = 6,091,914.95
  5. Step 5: Solve for x
    x = 6,091,914.95/2,698.69
  6. Step 6: Final answer
    x = 2,257.36

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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.