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Finding the Fourth Proportional to 1,674.06, 2,511.09 and 906.06

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Solution

The fourth proportional to 1,674.06, 2,511.09 and 906.06 is: 1,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.06 : 2,511.09 = 906.06 : x
  2. Step 2: Convert to fraction form
    1,674.06/2,511.09 = 906.06/x
  3. Step 3: Cross multiply
    1,674.06x = 2,511.09 × 906.06
  4. Step 4: Simplify right side
    1,674.06x = 2,275,198.21
  5. Step 5: Solve for x
    x = 2,275,198.21/1,674.06
  6. Step 6: Final answer
    x = 1,359.09

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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.