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Finding the Fourth Proportional to 2,722.26, 4,084.08 and 774.48

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Solution

The fourth proportional to 2,722.26, 4,084.08 and 774.48 is: 1,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.26 : 4,084.08 = 774.48 : x
  2. Step 2: Convert to fraction form
    2,722.26/4,084.08 = 774.48/x
  3. Step 3: Cross multiply
    2,722.26x = 4,084.08 × 774.48
  4. Step 4: Simplify right side
    2,722.26x = 3,163,038.28
  5. Step 5: Solve for x
    x = 3,163,038.28/2,722.26
  6. Step 6: Final answer
    x = 1,161.92

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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.