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Finding the Fourth Proportional to 3,028.69, 4,178.18 and 1,966.38

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Solution

The fourth proportional to 3,028.69, 4,178.18 and 1,966.38 is: 2,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.69 : 4,178.18 = 1,966.38 : x
  2. Step 2: Convert to fraction form
    3,028.69/4,178.18 = 1,966.38/x
  3. Step 3: Cross multiply
    3,028.69x = 4,178.18 × 1,966.38
  4. Step 4: Simplify right side
    3,028.69x = 8,215,878.84
  5. Step 5: Solve for x
    x = 8,215,878.84/3,028.69
  6. Step 6: Final answer
    x = 2,712.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.