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Finding the Fourth Proportional to 4,511.89, 6,768.90 and 1,433.89

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Solution

The fourth proportional to 4,511.89, 6,768.90 and 1,433.89 is: 2,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.89 : 6,768.90 = 1,433.89 : x
  2. Step 2: Convert to fraction form
    4,511.89/6,768.90 = 1,433.89/x
  3. Step 3: Cross multiply
    4,511.89x = 6,768.90 × 1,433.89
  4. Step 4: Simplify right side
    4,511.89x = 9,705,858.02
  5. Step 5: Solve for x
    x = 9,705,858.02/4,511.89
  6. Step 6: Final answer
    x = 2,151.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.