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Finding the Fourth Proportional to 1,604.49, 2,213.73 and 941.49

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Solution

The fourth proportional to 1,604.49, 2,213.73 and 941.49 is: 1,298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.49 : 2,213.73 = 941.49 : x
  2. Step 2: Convert to fraction form
    1,604.49/2,213.73 = 941.49/x
  3. Step 3: Cross multiply
    1,604.49x = 2,213.73 × 941.49
  4. Step 4: Simplify right side
    1,604.49x = 2,084,204.66
  5. Step 5: Solve for x
    x = 2,084,204.66/1,604.49
  6. Step 6: Final answer
    x = 1,298.98

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1.5x scale

Why These Related Problems?

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