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Finding the Fourth Proportional to 2,424.96, 3,635.34 and 2,057.16

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Solution

The fourth proportional to 2,424.96, 3,635.34 and 2,057.16 is: 3,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.96 : 3,635.34 = 2,057.16 : x
  2. Step 2: Convert to fraction form
    2,424.96/3,635.34 = 2,057.16/x
  3. Step 3: Cross multiply
    2,424.96x = 3,635.34 × 2,057.16
  4. Step 4: Simplify right side
    2,424.96x = 7,478,476.03
  5. Step 5: Solve for x
    x = 7,478,476.03/2,424.96
  6. Step 6: Final answer
    x = 3,083.96

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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.