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Finding the Fourth Proportional to 2,684.25, 3,704.67 and 1,636.92

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Solution

The fourth proportional to 2,684.25, 3,704.67 and 1,636.92 is: 2,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.25 : 3,704.67 = 1,636.92 : x
  2. Step 2: Convert to fraction form
    2,684.25/3,704.67 = 1,636.92/x
  3. Step 3: Cross multiply
    2,684.25x = 3,704.67 × 1,636.92
  4. Step 4: Simplify right side
    2,684.25x = 6,064,248.42
  5. Step 5: Solve for x
    x = 6,064,248.42/2,684.25
  6. Step 6: Final answer
    x = 2,259.20

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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.