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Finding the Fourth Proportional to 2,684.28, 3,706.38 and 2,162.64

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Solution

The fourth proportional to 2,684.28, 3,706.38 and 2,162.64 is: 2,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.28 : 3,706.38 = 2,162.64 : x
  2. Step 2: Convert to fraction form
    2,684.28/3,706.38 = 2,162.64/x
  3. Step 3: Cross multiply
    2,684.28x = 3,706.38 × 2,162.64
  4. Step 4: Simplify right side
    2,684.28x = 8,015,565.64
  5. Step 5: Solve for x
    x = 8,015,565.64/2,684.28
  6. Step 6: Final answer
    x = 2,986.11

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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.