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Finding the Fourth Proportional to 2,402.87, 3,604.77 and 941.22

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Solution

The fourth proportional to 2,402.87, 3,604.77 and 941.22 is: 1,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.87 : 3,604.77 = 941.22 : x
  2. Step 2: Convert to fraction form
    2,402.87/3,604.77 = 941.22/x
  3. Step 3: Cross multiply
    2,402.87x = 3,604.77 × 941.22
  4. Step 4: Simplify right side
    2,402.87x = 3,392,881.62
  5. Step 5: Solve for x
    x = 3,392,881.62/2,402.87
  6. Step 6: Final answer
    x = 1,412.02

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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.