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Finding the Fourth Proportional to 2,467.44, 3,693.10 and 1,355.16

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Solution

The fourth proportional to 2,467.44, 3,693.10 and 1,355.16 is: 2,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.44 : 3,693.10 = 1,355.16 : x
  2. Step 2: Convert to fraction form
    2,467.44/3,693.10 = 1,355.16/x
  3. Step 3: Cross multiply
    2,467.44x = 3,693.10 × 1,355.16
  4. Step 4: Simplify right side
    2,467.44x = 5,004,741.40
  5. Step 5: Solve for x
    x = 5,004,741.40/2,467.44
  6. Step 6: Final answer
    x = 2,028.31

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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.