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Finding the Fourth Proportional to 2,603.94, 3,906.81 and 1,628.88

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Solution

The fourth proportional to 2,603.94, 3,906.81 and 1,628.88 is: 2,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.94 : 3,906.81 = 1,628.88 : x
  2. Step 2: Convert to fraction form
    2,603.94/3,906.81 = 1,628.88/x
  3. Step 3: Cross multiply
    2,603.94x = 3,906.81 × 1,628.88
  4. Step 4: Simplify right side
    2,603.94x = 6,363,724.67
  5. Step 5: Solve for x
    x = 6,363,724.67/2,603.94
  6. Step 6: Final answer
    x = 2,443.88

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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.