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Finding the Fourth Proportional to 1,694.56, 2,339.49 and 1,271.50

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Solution

The fourth proportional to 1,694.56, 2,339.49 and 1,271.50 is: 1,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.56 : 2,339.49 = 1,271.50 : x
  2. Step 2: Convert to fraction form
    1,694.56/2,339.49 = 1,271.50/x
  3. Step 3: Cross multiply
    1,694.56x = 2,339.49 × 1,271.50
  4. Step 4: Simplify right side
    1,694.56x = 2,974,661.54
  5. Step 5: Solve for x
    x = 2,974,661.54/1,694.56
  6. Step 6: Final answer
    x = 1,755.42

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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.