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Finding the Fourth Proportional to 1,813.98, 2,721.16 and 774.09

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Solution

The fourth proportional to 1,813.98, 2,721.16 and 774.09 is: 1,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.98 : 2,721.16 = 774.09 : x
  2. Step 2: Convert to fraction form
    1,813.98/2,721.16 = 774.09/x
  3. Step 3: Cross multiply
    1,813.98x = 2,721.16 × 774.09
  4. Step 4: Simplify right side
    1,813.98x = 2,106,431.37
  5. Step 5: Solve for x
    x = 2,106,431.37/1,813.98
  6. Step 6: Final answer
    x = 1,161.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.