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Finding the Fourth Proportional to 4,342.62, 6,513.22 and 1,222.84

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Solution

The fourth proportional to 4,342.62, 6,513.22 and 1,222.84 is: 1,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.62 : 6,513.22 = 1,222.84 : x
  2. Step 2: Convert to fraction form
    4,342.62/6,513.22 = 1,222.84/x
  3. Step 3: Cross multiply
    4,342.62x = 6,513.22 × 1,222.84
  4. Step 4: Simplify right side
    4,342.62x = 7,964,625.94
  5. Step 5: Solve for x
    x = 7,964,625.94/4,342.62
  6. Step 6: Final answer
    x = 1,834.06

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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.