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Finding the Fourth Proportional to 2,684.36, 3,705.62 and 1,636.84

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Solution

The fourth proportional to 2,684.36, 3,705.62 and 1,636.84 is: 2,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.36 : 3,705.62 = 1,636.84 : x
  2. Step 2: Convert to fraction form
    2,684.36/3,705.62 = 1,636.84/x
  3. Step 3: Cross multiply
    2,684.36x = 3,705.62 × 1,636.84
  4. Step 4: Simplify right side
    2,684.36x = 6,065,507.04
  5. Step 5: Solve for x
    x = 6,065,507.04/2,684.36
  6. Step 6: Final answer
    x = 2,259.57

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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.