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Finding the Fourth Proportional to 2,955.38, 4,078.31 and 1,629

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Solution

The fourth proportional to 2,955.38, 4,078.31 and 1,629 is: 2,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.38 : 4,078.31 = 1,629 : x
  2. Step 2: Convert to fraction form
    2,955.38/4,078.31 = 1,629/x
  3. Step 3: Cross multiply
    2,955.38x = 4,078.31 × 1,629
  4. Step 4: Simplify right side
    2,955.38x = 6,643,558.85
  5. Step 5: Solve for x
    x = 6,643,558.85/2,955.38
  6. Step 6: Final answer
    x = 2,247.96

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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.