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Finding the Fourth Proportional to 4,431.84, 6,648.14 and 1,469.65

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Solution

The fourth proportional to 4,431.84, 6,648.14 and 1,469.65 is: 2,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431.84 : 6,648.14 = 1,469.65 : x
  2. Step 2: Convert to fraction form
    4,431.84/6,648.14 = 1,469.65/x
  3. Step 3: Cross multiply
    4,431.84x = 6,648.14 × 1,469.65
  4. Step 4: Simplify right side
    4,431.84x = 9,770,438.95
  5. Step 5: Solve for x
    x = 9,770,438.95/4,431.84
  6. Step 6: Final answer
    x = 2,204.60

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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.