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Finding the Fourth Proportional to 2,709.31, 3,738.85 and 1,467.31

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Solution

The fourth proportional to 2,709.31, 3,738.85 and 1,467.31 is: 2,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.31 : 3,738.85 = 1,467.31 : x
  2. Step 2: Convert to fraction form
    2,709.31/3,738.85 = 1,467.31/x
  3. Step 3: Cross multiply
    2,709.31x = 3,738.85 × 1,467.31
  4. Step 4: Simplify right side
    2,709.31x = 5,486,051.99
  5. Step 5: Solve for x
    x = 5,486,051.99/2,709.31
  6. Step 6: Final answer
    x = 2,024.89

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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.