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Finding the Fourth Proportional to 1,604.35, 2,214.03 and 941.41

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Solution

The fourth proportional to 1,604.35, 2,214.03 and 941.41 is: 1,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.35 : 2,214.03 = 941.41 : x
  2. Step 2: Convert to fraction form
    1,604.35/2,214.03 = 941.41/x
  3. Step 3: Cross multiply
    1,604.35x = 2,214.03 × 941.41
  4. Step 4: Simplify right side
    1,604.35x = 2,084,309.98
  5. Step 5: Solve for x
    x = 2,084,309.98/1,604.35
  6. Step 6: Final answer
    x = 1,299.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.