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Finding the Fourth Proportional to 2,306.87, 3,460 and 845.83

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Solution

The fourth proportional to 2,306.87, 3,460 and 845.83 is: 1,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.87 : 3,460 = 845.83 : x
  2. Step 2: Convert to fraction form
    2,306.87/3,460 = 845.83/x
  3. Step 3: Cross multiply
    2,306.87x = 3,460 × 845.83
  4. Step 4: Simplify right side
    2,306.87x = 2,926,571.80
  5. Step 5: Solve for x
    x = 2,926,571.80/2,306.87
  6. Step 6: Final answer
    x = 1,268.63

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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.