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Finding the Fourth Proportional to 2,496.64, 3,442.26 and 1,906.24

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Solution

The fourth proportional to 2,496.64, 3,442.26 and 1,906.24 is: 2,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.64 : 3,442.26 = 1,906.24 : x
  2. Step 2: Convert to fraction form
    2,496.64/3,442.26 = 1,906.24/x
  3. Step 3: Cross multiply
    2,496.64x = 3,442.26 × 1,906.24
  4. Step 4: Simplify right side
    2,496.64x = 6,561,773.70
  5. Step 5: Solve for x
    x = 6,561,773.70/2,496.64
  6. Step 6: Final answer
    x = 2,628.24

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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.