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Finding the Fourth Proportional to 2,939.61, 4,055.94 and 1,680.29

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Solution

The fourth proportional to 2,939.61, 4,055.94 and 1,680.29 is: 2,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.61 : 4,055.94 = 1,680.29 : x
  2. Step 2: Convert to fraction form
    2,939.61/4,055.94 = 1,680.29/x
  3. Step 3: Cross multiply
    2,939.61x = 4,055.94 × 1,680.29
  4. Step 4: Simplify right side
    2,939.61x = 6,815,135.14
  5. Step 5: Solve for x
    x = 6,815,135.14/2,939.61
  6. Step 6: Final answer
    x = 2,318.38

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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.