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Finding the Fourth Proportional to 2,894.72, 4,339.49 and 1,164.56

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Solution

The fourth proportional to 2,894.72, 4,339.49 and 1,164.56 is: 1,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.72 : 4,339.49 = 1,164.56 : x
  2. Step 2: Convert to fraction form
    2,894.72/4,339.49 = 1,164.56/x
  3. Step 3: Cross multiply
    2,894.72x = 4,339.49 × 1,164.56
  4. Step 4: Simplify right side
    2,894.72x = 5,053,568.95
  5. Step 5: Solve for x
    x = 5,053,568.95/2,894.72
  6. Step 6: Final answer
    x = 1,745.79

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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.