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Finding the Fourth Proportional to 3,084.54, 4,258.76 and 1,906.26

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Solution

The fourth proportional to 3,084.54, 4,258.76 and 1,906.26 is: 2,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.54 : 4,258.76 = 1,906.26 : x
  2. Step 2: Convert to fraction form
    3,084.54/4,258.76 = 1,906.26/x
  3. Step 3: Cross multiply
    3,084.54x = 4,258.76 × 1,906.26
  4. Step 4: Simplify right side
    3,084.54x = 8,118,294.31
  5. Step 5: Solve for x
    x = 8,118,294.31/3,084.54
  6. Step 6: Final answer
    x = 2,631.93

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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.