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Finding the Fourth Proportional to 2,145.68, 3,213.89 and 1,448.52

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Solution

The fourth proportional to 2,145.68, 3,213.89 and 1,448.52 is: 2,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.68 : 3,213.89 = 1,448.52 : x
  2. Step 2: Convert to fraction form
    2,145.68/3,213.89 = 1,448.52/x
  3. Step 3: Cross multiply
    2,145.68x = 3,213.89 × 1,448.52
  4. Step 4: Simplify right side
    2,145.68x = 4,655,380.09
  5. Step 5: Solve for x
    x = 4,655,380.09/2,145.68
  6. Step 6: Final answer
    x = 2,169.65

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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.