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Finding the Fourth Proportional to 1,645.79, 2,268.48 and 1,167.41

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Solution

The fourth proportional to 1,645.79, 2,268.48 and 1,167.41 is: 1,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.79 : 2,268.48 = 1,167.41 : x
  2. Step 2: Convert to fraction form
    1,645.79/2,268.48 = 1,167.41/x
  3. Step 3: Cross multiply
    1,645.79x = 2,268.48 × 1,167.41
  4. Step 4: Simplify right side
    1,645.79x = 2,648,234.89
  5. Step 5: Solve for x
    x = 2,648,234.89/1,645.79
  6. Step 6: Final answer
    x = 1,609.10

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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.