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Finding the Fourth Proportional to 2,645.42, 3,965.12 and 1,083.42

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Solution

The fourth proportional to 2,645.42, 3,965.12 and 1,083.42 is: 1,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.42 : 3,965.12 = 1,083.42 : x
  2. Step 2: Convert to fraction form
    2,645.42/3,965.12 = 1,083.42/x
  3. Step 3: Cross multiply
    2,645.42x = 3,965.12 × 1,083.42
  4. Step 4: Simplify right side
    2,645.42x = 4,295,877.80
  5. Step 5: Solve for x
    x = 4,295,877.80/2,645.42
  6. Step 6: Final answer
    x = 1,623.89

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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.