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Finding the Fourth Proportional to 2,306.33, 3,455.99 and 1,690.44

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Solution

The fourth proportional to 2,306.33, 3,455.99 and 1,690.44 is: 2,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.33 : 3,455.99 = 1,690.44 : x
  2. Step 2: Convert to fraction form
    2,306.33/3,455.99 = 1,690.44/x
  3. Step 3: Cross multiply
    2,306.33x = 3,455.99 × 1,690.44
  4. Step 4: Simplify right side
    2,306.33x = 5,842,135.28
  5. Step 5: Solve for x
    x = 5,842,135.28/2,306.33
  6. Step 6: Final answer
    x = 2,533.09

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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.