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Finding the Fourth Proportional to 2,402.67, 3,604.50 and 941.83

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Solution

The fourth proportional to 2,402.67, 3,604.50 and 941.83 is: 1,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.67 : 3,604.50 = 941.83 : x
  2. Step 2: Convert to fraction form
    2,402.67/3,604.50 = 941.83/x
  3. Step 3: Cross multiply
    2,402.67x = 3,604.50 × 941.83
  4. Step 4: Simplify right side
    2,402.67x = 3,394,826.24
  5. Step 5: Solve for x
    x = 3,394,826.24/2,402.67
  6. Step 6: Final answer
    x = 1,412.94

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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.