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Finding the Fourth Proportional to 2,463.31, 3,697.40 and 1,491.31

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Solution

The fourth proportional to 2,463.31, 3,697.40 and 1,491.31 is: 2,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.31 : 3,697.40 = 1,491.31 : x
  2. Step 2: Convert to fraction form
    2,463.31/3,697.40 = 1,491.31/x
  3. Step 3: Cross multiply
    2,463.31x = 3,697.40 × 1,491.31
  4. Step 4: Simplify right side
    2,463.31x = 5,513,969.56
  5. Step 5: Solve for x
    x = 5,513,969.56/2,463.31
  6. Step 6: Final answer
    x = 2,238.44

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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.