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Finding the Fourth Proportional to 1,814.55, 2,722.85 and 774.44

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Solution

The fourth proportional to 1,814.55, 2,722.85 and 774.44 is: 1,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.55 : 2,722.85 = 774.44 : x
  2. Step 2: Convert to fraction form
    1,814.55/2,722.85 = 774.44/x
  3. Step 3: Cross multiply
    1,814.55x = 2,722.85 × 774.44
  4. Step 4: Simplify right side
    1,814.55x = 2,108,683.95
  5. Step 5: Solve for x
    x = 2,108,683.95/1,814.55
  6. Step 6: Final answer
    x = 1,162.10

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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.