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Finding the Fourth Proportional to 1,604.01, 2,213.37 and 1,184.61

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Solution

The fourth proportional to 1,604.01, 2,213.37 and 1,184.61 is: 1,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.01 : 2,213.37 = 1,184.61 : x
  2. Step 2: Convert to fraction form
    1,604.01/2,213.37 = 1,184.61/x
  3. Step 3: Cross multiply
    1,604.01x = 2,213.37 × 1,184.61
  4. Step 4: Simplify right side
    1,604.01x = 2,621,980.24
  5. Step 5: Solve for x
    x = 2,621,980.24/1,604.01
  6. Step 6: Final answer
    x = 1,634.64

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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.