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Finding the Fourth Proportional to 1,384.82, 2,081.04 and 736.04

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Solution

The fourth proportional to 1,384.82, 2,081.04 and 736.04 is: 1,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.82 : 2,081.04 = 736.04 : x
  2. Step 2: Convert to fraction form
    1,384.82/2,081.04 = 736.04/x
  3. Step 3: Cross multiply
    1,384.82x = 2,081.04 × 736.04
  4. Step 4: Simplify right side
    1,384.82x = 1,531,728.68
  5. Step 5: Solve for x
    x = 1,531,728.68/1,384.82
  6. Step 6: Final answer
    x = 1,106.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.