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Finding the Fourth Proportional to 2,267.85, 3,397.41 and 1,684.23

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Solution

The fourth proportional to 2,267.85, 3,397.41 and 1,684.23 is: 2,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.85 : 3,397.41 = 1,684.23 : x
  2. Step 2: Convert to fraction form
    2,267.85/3,397.41 = 1,684.23/x
  3. Step 3: Cross multiply
    2,267.85x = 3,397.41 × 1,684.23
  4. Step 4: Simplify right side
    2,267.85x = 5,722,019.84
  5. Step 5: Solve for x
    x = 5,722,019.84/2,267.85
  6. Step 6: Final answer
    x = 2,523.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.