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Finding the Fourth Proportional to 3,049.93, 4,571.72 and 1,487.80

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Solution

The fourth proportional to 3,049.93, 4,571.72 and 1,487.80 is: 2,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.93 : 4,571.72 = 1,487.80 : x
  2. Step 2: Convert to fraction form
    3,049.93/4,571.72 = 1,487.80/x
  3. Step 3: Cross multiply
    3,049.93x = 4,571.72 × 1,487.80
  4. Step 4: Simplify right side
    3,049.93x = 6,801,774.72
  5. Step 5: Solve for x
    x = 6,801,774.72/3,049.93
  6. Step 6: Final answer
    x = 2,230.14

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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.