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Finding the Fourth Proportional to 3,049.85, 4,571.25 and 1,402.94

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Solution

The fourth proportional to 3,049.85, 4,571.25 and 1,402.94 is: 2,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.85 : 4,571.25 = 1,402.94 : x
  2. Step 2: Convert to fraction form
    3,049.85/4,571.25 = 1,402.94/x
  3. Step 3: Cross multiply
    3,049.85x = 4,571.25 × 1,402.94
  4. Step 4: Simplify right side
    3,049.85x = 6,413,166.62
  5. Step 5: Solve for x
    x = 6,413,166.62/3,049.85
  6. Step 6: Final answer
    x = 2,102.78

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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.