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Finding the Fourth Proportional to 3,283.18, 4,921.31 and 1,614.99

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Solution

The fourth proportional to 3,283.18, 4,921.31 and 1,614.99 is: 2,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.18 : 4,921.31 = 1,614.99 : x
  2. Step 2: Convert to fraction form
    3,283.18/4,921.31 = 1,614.99/x
  3. Step 3: Cross multiply
    3,283.18x = 4,921.31 × 1,614.99
  4. Step 4: Simplify right side
    3,283.18x = 7,947,852.16
  5. Step 5: Solve for x
    x = 7,947,852.16/3,283.18
  6. Step 6: Final answer
    x = 2,420.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.