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Finding the Fourth Proportional to 2,146.88, 3,213.30 and 1,325.82

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Solution

The fourth proportional to 2,146.88, 3,213.30 and 1,325.82 is: 1,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.88 : 3,213.30 = 1,325.82 : x
  2. Step 2: Convert to fraction form
    2,146.88/3,213.30 = 1,325.82/x
  3. Step 3: Cross multiply
    2,146.88x = 3,213.30 × 1,325.82
  4. Step 4: Simplify right side
    2,146.88x = 4,260,257.41
  5. Step 5: Solve for x
    x = 4,260,257.41/2,146.88
  6. Step 6: Final answer
    x = 1,984.39

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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.