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Finding the Fourth Proportional to 2,406.31, 3,609.77 and 945.57

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Solution

The fourth proportional to 2,406.31, 3,609.77 and 945.57 is: 1,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.31 : 3,609.77 = 945.57 : x
  2. Step 2: Convert to fraction form
    2,406.31/3,609.77 = 945.57/x
  3. Step 3: Cross multiply
    2,406.31x = 3,609.77 × 945.57
  4. Step 4: Simplify right side
    2,406.31x = 3,413,299.03
  5. Step 5: Solve for x
    x = 3,413,299.03/2,406.31
  6. Step 6: Final answer
    x = 1,418.48

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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.