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Finding the Fourth Proportional to 3,022.71, 4,169.64 and 2,078.38

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Solution

The fourth proportional to 3,022.71, 4,169.64 and 2,078.38 is: 2,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.71 : 4,169.64 = 2,078.38 : x
  2. Step 2: Convert to fraction form
    3,022.71/4,169.64 = 2,078.38/x
  3. Step 3: Cross multiply
    3,022.71x = 4,169.64 × 2,078.38
  4. Step 4: Simplify right side
    3,022.71x = 8,666,096.38
  5. Step 5: Solve for x
    x = 8,666,096.38/3,022.71
  6. Step 6: Final answer
    x = 2,867.00

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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.