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Finding the Fourth Proportional to 1,369.83, 2,054.84 and 1,150.41

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Solution

The fourth proportional to 1,369.83, 2,054.84 and 1,150.41 is: 1,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.83 : 2,054.84 = 1,150.41 : x
  2. Step 2: Convert to fraction form
    1,369.83/2,054.84 = 1,150.41/x
  3. Step 3: Cross multiply
    1,369.83x = 2,054.84 × 1,150.41
  4. Step 4: Simplify right side
    1,369.83x = 2,363,902.73
  5. Step 5: Solve for x
    x = 2,363,902.73/1,369.83
  6. Step 6: Final answer
    x = 1,725.69

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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.