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Finding the Fourth Proportional to 3,258, 4,882.68 and 1,797.84

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Solution

The fourth proportional to 3,258, 4,882.68 and 1,797.84 is: 2,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258 : 4,882.68 = 1,797.84 : x
  2. Step 2: Convert to fraction form
    3,258/4,882.68 = 1,797.84/x
  3. Step 3: Cross multiply
    3,258x = 4,882.68 × 1,797.84
  4. Step 4: Simplify right side
    3,258x = 8,778,277.41
  5. Step 5: Solve for x
    x = 8,778,277.41/3,258
  6. Step 6: Final answer
    x = 2,694.38

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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.