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Finding the Fourth Proportional to 2,645.96, 3,969.90 and 1,347.56

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Solution

The fourth proportional to 2,645.96, 3,969.90 and 1,347.56 is: 2,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.96 : 3,969.90 = 1,347.56 : x
  2. Step 2: Convert to fraction form
    2,645.96/3,969.90 = 1,347.56/x
  3. Step 3: Cross multiply
    2,645.96x = 3,969.90 × 1,347.56
  4. Step 4: Simplify right side
    2,645.96x = 5,349,678.44
  5. Step 5: Solve for x
    x = 5,349,678.44/2,645.96
  6. Step 6: Final answer
    x = 2,021.83

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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.