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Finding the Fourth Proportional to 2,327.49, 3,496.23 and 1,462.41

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Solution

The fourth proportional to 2,327.49, 3,496.23 and 1,462.41 is: 2,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.49 : 3,496.23 = 1,462.41 : x
  2. Step 2: Convert to fraction form
    2,327.49/3,496.23 = 1,462.41/x
  3. Step 3: Cross multiply
    2,327.49x = 3,496.23 × 1,462.41
  4. Step 4: Simplify right side
    2,327.49x = 5,112,921.71
  5. Step 5: Solve for x
    x = 5,112,921.71/2,327.49
  6. Step 6: Final answer
    x = 2,196.75

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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.