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Finding the Fourth Proportional to 2,837.76, 3,906.40 and 2,462.54

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Solution

The fourth proportional to 2,837.76, 3,906.40 and 2,462.54 is: 3,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.76 : 3,906.40 = 2,462.54 : x
  2. Step 2: Convert to fraction form
    2,837.76/3,906.40 = 2,462.54/x
  3. Step 3: Cross multiply
    2,837.76x = 3,906.40 × 2,462.54
  4. Step 4: Simplify right side
    2,837.76x = 9,619,666.26
  5. Step 5: Solve for x
    x = 9,619,666.26/2,837.76
  6. Step 6: Final answer
    x = 3,389.88

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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.