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Finding the Fourth Proportional to 2,419, 3,628.26 and 775.11

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Solution

The fourth proportional to 2,419, 3,628.26 and 775.11 is: 1,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419 : 3,628.26 = 775.11 : x
  2. Step 2: Convert to fraction form
    2,419/3,628.26 = 775.11/x
  3. Step 3: Cross multiply
    2,419x = 3,628.26 × 775.11
  4. Step 4: Simplify right side
    2,419x = 2,812,278.59
  5. Step 5: Solve for x
    x = 2,812,278.59/2,419
  6. Step 6: Final answer
    x = 1,162.58

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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.