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Finding the Fourth Proportional to 2,408.31, 3,321.90 and 1,476.81

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Solution

The fourth proportional to 2,408.31, 3,321.90 and 1,476.81 is: 2,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.31 : 3,321.90 = 1,476.81 : x
  2. Step 2: Convert to fraction form
    2,408.31/3,321.90 = 1,476.81/x
  3. Step 3: Cross multiply
    2,408.31x = 3,321.90 × 1,476.81
  4. Step 4: Simplify right side
    2,408.31x = 4,905,815.14
  5. Step 5: Solve for x
    x = 4,905,815.14/2,408.31
  6. Step 6: Final answer
    x = 2,037.04

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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.