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Finding the Fourth Proportional to 2,418.94, 3,629.12 and 775.45

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Solution

The fourth proportional to 2,418.94, 3,629.12 and 775.45 is: 1,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.94 : 3,629.12 = 775.45 : x
  2. Step 2: Convert to fraction form
    2,418.94/3,629.12 = 775.45/x
  3. Step 3: Cross multiply
    2,418.94x = 3,629.12 × 775.45
  4. Step 4: Simplify right side
    2,418.94x = 2,814,201.10
  5. Step 5: Solve for x
    x = 2,814,201.10/2,418.94
  6. Step 6: Final answer
    x = 1,163.40

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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.