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Finding the Fourth Proportional to 2,349.29, 3,523.28 and 789.32

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Solution

The fourth proportional to 2,349.29, 3,523.28 and 789.32 is: 1,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.29 : 3,523.28 = 789.32 : x
  2. Step 2: Convert to fraction form
    2,349.29/3,523.28 = 789.32/x
  3. Step 3: Cross multiply
    2,349.29x = 3,523.28 × 789.32
  4. Step 4: Simplify right side
    2,349.29x = 2,780,973.81
  5. Step 5: Solve for x
    x = 2,780,973.81/2,349.29
  6. Step 6: Final answer
    x = 1,183.75

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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.