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Finding the Fourth Proportional to 1,828.61, 2,745.66 and 1,049.49

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Solution

The fourth proportional to 1,828.61, 2,745.66 and 1,049.49 is: 1,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.61 : 2,745.66 = 1,049.49 : x
  2. Step 2: Convert to fraction form
    1,828.61/2,745.66 = 1,049.49/x
  3. Step 3: Cross multiply
    1,828.61x = 2,745.66 × 1,049.49
  4. Step 4: Simplify right side
    1,828.61x = 2,881,546.65
  5. Step 5: Solve for x
    x = 2,881,546.65/1,828.61
  6. Step 6: Final answer
    x = 1,575.81

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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.