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Finding the Fourth Proportional to 4,154.69, 6,231.23 and 1,233.02

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Solution

The fourth proportional to 4,154.69, 6,231.23 and 1,233.02 is: 1,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.69 : 6,231.23 = 1,233.02 : x
  2. Step 2: Convert to fraction form
    4,154.69/6,231.23 = 1,233.02/x
  3. Step 3: Cross multiply
    4,154.69x = 6,231.23 × 1,233.02
  4. Step 4: Simplify right side
    4,154.69x = 7,683,245.25
  5. Step 5: Solve for x
    x = 7,683,245.25/4,154.69
  6. Step 6: Final answer
    x = 1,849.29

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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.