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Finding the Fourth Proportional to 1,604.16, 2,213.78 and 941.00

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Solution

The fourth proportional to 1,604.16, 2,213.78 and 941.00 is: 1,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.16 : 2,213.78 = 941.00 : x
  2. Step 2: Convert to fraction form
    1,604.16/2,213.78 = 941.00/x
  3. Step 3: Cross multiply
    1,604.16x = 2,213.78 × 941.00
  4. Step 4: Simplify right side
    1,604.16x = 2,083,151.21
  5. Step 5: Solve for x
    x = 2,083,151.21/1,604.16
  6. Step 6: Final answer
    x = 1,298.59

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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.