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Finding the Fourth Proportional to 2,684.84, 4,029.42 and 2,671.88

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Solution

The fourth proportional to 2,684.84, 4,029.42 and 2,671.88 is: 4,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.84 : 4,029.42 = 2,671.88 : x
  2. Step 2: Convert to fraction form
    2,684.84/4,029.42 = 2,671.88/x
  3. Step 3: Cross multiply
    2,684.84x = 4,029.42 × 2,671.88
  4. Step 4: Simplify right side
    2,684.84x = 10,766,126.71
  5. Step 5: Solve for x
    x = 10,766,126.71/2,684.84
  6. Step 6: Final answer
    x = 4,009.97

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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.