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Finding the Fourth Proportional to 3,084.49, 4,258.56 and 1,906.24

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Solution

The fourth proportional to 3,084.49, 4,258.56 and 1,906.24 is: 2,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.49 : 4,258.56 = 1,906.24 : x
  2. Step 2: Convert to fraction form
    3,084.49/4,258.56 = 1,906.24/x
  3. Step 3: Cross multiply
    3,084.49x = 4,258.56 × 1,906.24
  4. Step 4: Simplify right side
    3,084.49x = 8,117,837.41
  5. Step 5: Solve for x
    x = 8,117,837.41/3,084.49
  6. Step 6: Final answer
    x = 2,631.82

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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.