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Finding the Fourth Proportional to 2,266.62, 3,393.32 and 1,684.20

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Solution

The fourth proportional to 2,266.62, 3,393.32 and 1,684.20 is: 2,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.62 : 3,393.32 = 1,684.20 : x
  2. Step 2: Convert to fraction form
    2,266.62/3,393.32 = 1,684.20/x
  3. Step 3: Cross multiply
    2,266.62x = 3,393.32 × 1,684.20
  4. Step 4: Simplify right side
    2,266.62x = 5,715,033.75
  5. Step 5: Solve for x
    x = 5,715,033.75/2,266.62
  6. Step 6: Final answer
    x = 2,521.39

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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.