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Finding the Fourth Proportional to 2,763.72, 3,814.01 and 1,504.85

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Solution

The fourth proportional to 2,763.72, 3,814.01 and 1,504.85 is: 2,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.72 : 3,814.01 = 1,504.85 : x
  2. Step 2: Convert to fraction form
    2,763.72/3,814.01 = 1,504.85/x
  3. Step 3: Cross multiply
    2,763.72x = 3,814.01 × 1,504.85
  4. Step 4: Simplify right side
    2,763.72x = 5,739,520.60
  5. Step 5: Solve for x
    x = 5,739,520.60/2,763.72
  6. Step 6: Final answer
    x = 2,076.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.