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Finding the Fourth Proportional to 2,869.61, 4,303.86 and 789.09

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Solution

The fourth proportional to 2,869.61, 4,303.86 and 789.09 is: 1,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.61 : 4,303.86 = 789.09 : x
  2. Step 2: Convert to fraction form
    2,869.61/4,303.86 = 789.09/x
  3. Step 3: Cross multiply
    2,869.61x = 4,303.86 × 789.09
  4. Step 4: Simplify right side
    2,869.61x = 3,396,111.37
  5. Step 5: Solve for x
    x = 3,396,111.37/2,869.61
  6. Step 6: Final answer
    x = 1,183.48

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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.