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Finding the Fourth Proportional to 3,164.88, 4,365.04 and 2,045.94

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Solution

The fourth proportional to 3,164.88, 4,365.04 and 2,045.94 is: 2,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.88 : 4,365.04 = 2,045.94 : x
  2. Step 2: Convert to fraction form
    3,164.88/4,365.04 = 2,045.94/x
  3. Step 3: Cross multiply
    3,164.88x = 4,365.04 × 2,045.94
  4. Step 4: Simplify right side
    3,164.88x = 8,930,609.94
  5. Step 5: Solve for x
    x = 8,930,609.94/3,164.88
  6. Step 6: Final answer
    x = 2,821.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.