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Finding the Fourth Proportional to 2,145.69, 3,212.46 and 1,363.75

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Solution

The fourth proportional to 2,145.69, 3,212.46 and 1,363.75 is: 2,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.69 : 3,212.46 = 1,363.75 : x
  2. Step 2: Convert to fraction form
    2,145.69/3,212.46 = 1,363.75/x
  3. Step 3: Cross multiply
    2,145.69x = 3,212.46 × 1,363.75
  4. Step 4: Simplify right side
    2,145.69x = 4,380,984.29
  5. Step 5: Solve for x
    x = 4,380,984.29/2,145.69
  6. Step 6: Final answer
    x = 2,041.76

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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.