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Finding the Fourth Proportional to 1,829.56, 2,743.70 and 789.28

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Solution

The fourth proportional to 1,829.56, 2,743.70 and 789.28 is: 1,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.56 : 2,743.70 = 789.28 : x
  2. Step 2: Convert to fraction form
    1,829.56/2,743.70 = 789.28/x
  3. Step 3: Cross multiply
    1,829.56x = 2,743.70 × 789.28
  4. Step 4: Simplify right side
    1,829.56x = 2,165,547.54
  5. Step 5: Solve for x
    x = 2,165,547.54/1,829.56
  6. Step 6: Final answer
    x = 1,183.64

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Why These Related Problems?

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