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Finding the Fourth Proportional to 3,167.98, 4,747.84 and 1,705.41

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Solution

The fourth proportional to 3,167.98, 4,747.84 and 1,705.41 is: 2,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.98 : 4,747.84 = 1,705.41 : x
  2. Step 2: Convert to fraction form
    3,167.98/4,747.84 = 1,705.41/x
  3. Step 3: Cross multiply
    3,167.98x = 4,747.84 × 1,705.41
  4. Step 4: Simplify right side
    3,167.98x = 8,097,009.55
  5. Step 5: Solve for x
    x = 8,097,009.55/3,167.98
  6. Step 6: Final answer
    x = 2,555.89

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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.