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Finding the Fourth Proportional to 2,359.96, 3,540.90 and 1,189.33

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Solution

The fourth proportional to 2,359.96, 3,540.90 and 1,189.33 is: 1,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.96 : 3,540.90 = 1,189.33 : x
  2. Step 2: Convert to fraction form
    2,359.96/3,540.90 = 1,189.33/x
  3. Step 3: Cross multiply
    2,359.96x = 3,540.90 × 1,189.33
  4. Step 4: Simplify right side
    2,359.96x = 4,211,294.20
  5. Step 5: Solve for x
    x = 4,211,294.20/2,359.96
  6. Step 6: Final answer
    x = 1,784.48

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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.