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Finding the Fourth Proportional to 3,122.98, 4,676.70 and 1,886.65

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Solution

The fourth proportional to 3,122.98, 4,676.70 and 1,886.65 is: 2,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.98 : 4,676.70 = 1,886.65 : x
  2. Step 2: Convert to fraction form
    3,122.98/4,676.70 = 1,886.65/x
  3. Step 3: Cross multiply
    3,122.98x = 4,676.70 × 1,886.65
  4. Step 4: Simplify right side
    3,122.98x = 8,823,291.44
  5. Step 5: Solve for x
    x = 8,823,291.44/3,122.98
  6. Step 6: Final answer
    x = 2,825.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.