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Finding the Fourth Proportional to 2,684.16, 3,704.14 and 1,636.83

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Solution

The fourth proportional to 2,684.16, 3,704.14 and 1,636.83 is: 2,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.16 : 3,704.14 = 1,636.83 : x
  2. Step 2: Convert to fraction form
    2,684.16/3,704.14 = 1,636.83/x
  3. Step 3: Cross multiply
    2,684.16x = 3,704.14 × 1,636.83
  4. Step 4: Simplify right side
    2,684.16x = 6,063,043.38
  5. Step 5: Solve for x
    x = 6,063,043.38/2,684.16
  6. Step 6: Final answer
    x = 2,258.82

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Why These Related Problems?

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