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Finding the Fourth Proportional to 2,447.85, 3,670.41 and 803.96

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Solution

The fourth proportional to 2,447.85, 3,670.41 and 803.96 is: 1,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.85 : 3,670.41 = 803.96 : x
  2. Step 2: Convert to fraction form
    2,447.85/3,670.41 = 803.96/x
  3. Step 3: Cross multiply
    2,447.85x = 3,670.41 × 803.96
  4. Step 4: Simplify right side
    2,447.85x = 2,950,861.25
  5. Step 5: Solve for x
    x = 2,950,861.25/2,447.85
  6. Step 6: Final answer
    x = 1,205.49

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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.