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Finding the Fourth Proportional to 1,604.58, 2,213.40 and 941.31

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Solution

The fourth proportional to 1,604.58, 2,213.40 and 941.31 is: 1,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.58 : 2,213.40 = 941.31 : x
  2. Step 2: Convert to fraction form
    1,604.58/2,213.40 = 941.31/x
  3. Step 3: Cross multiply
    1,604.58x = 2,213.40 × 941.31
  4. Step 4: Simplify right side
    1,604.58x = 2,083,495.55
  5. Step 5: Solve for x
    x = 2,083,495.55/1,604.58
  6. Step 6: Final answer
    x = 1,298.47

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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.