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Finding the Fourth Proportional to 2,143.58, 3,213.82 and 1,448.51

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Solution

The fourth proportional to 2,143.58, 3,213.82 and 1,448.51 is: 2,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.58 : 3,213.82 = 1,448.51 : x
  2. Step 2: Convert to fraction form
    2,143.58/3,213.82 = 1,448.51/x
  3. Step 3: Cross multiply
    2,143.58x = 3,213.82 × 1,448.51
  4. Step 4: Simplify right side
    2,143.58x = 4,655,243.17
  5. Step 5: Solve for x
    x = 4,655,243.17/2,143.58
  6. Step 6: Final answer
    x = 2,171.71

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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.