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Finding the Fourth Proportional to 2,467.96, 3,697.06 and 1,427.31

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Solution

The fourth proportional to 2,467.96, 3,697.06 and 1,427.31 is: 2,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.96 : 3,697.06 = 1,427.31 : x
  2. Step 2: Convert to fraction form
    2,467.96/3,697.06 = 1,427.31/x
  3. Step 3: Cross multiply
    2,467.96x = 3,697.06 × 1,427.31
  4. Step 4: Simplify right side
    2,467.96x = 5,276,850.71
  5. Step 5: Solve for x
    x = 5,276,850.71/2,467.96
  6. Step 6: Final answer
    x = 2,138.14

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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.