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Finding the Fourth Proportional to 3,231.93, 4,459.68 and 1,815.69

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Solution

The fourth proportional to 3,231.93, 4,459.68 and 1,815.69 is: 2,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.93 : 4,459.68 = 1,815.69 : x
  2. Step 2: Convert to fraction form
    3,231.93/4,459.68 = 1,815.69/x
  3. Step 3: Cross multiply
    3,231.93x = 4,459.68 × 1,815.69
  4. Step 4: Simplify right side
    3,231.93x = 8,097,396.38
  5. Step 5: Solve for x
    x = 8,097,396.38/3,231.93
  6. Step 6: Final answer
    x = 2,505.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.