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Finding the Fourth Proportional to 3,232.78, 4,461.81 and 1,906.40

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Solution

The fourth proportional to 3,232.78, 4,461.81 and 1,906.40 is: 2,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.78 : 4,461.81 = 1,906.40 : x
  2. Step 2: Convert to fraction form
    3,232.78/4,461.81 = 1,906.40/x
  3. Step 3: Cross multiply
    3,232.78x = 4,461.81 × 1,906.40
  4. Step 4: Simplify right side
    3,232.78x = 8,505,994.58
  5. Step 5: Solve for x
    x = 8,505,994.58/3,232.78
  6. Step 6: Final answer
    x = 2,631.17

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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.