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Finding the Fourth Proportional to 3,264.57, 4,505.81 and 2,006.28

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Solution

The fourth proportional to 3,264.57, 4,505.81 and 2,006.28 is: 2,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.57 : 4,505.81 = 2,006.28 : x
  2. Step 2: Convert to fraction form
    3,264.57/4,505.81 = 2,006.28/x
  3. Step 3: Cross multiply
    3,264.57x = 4,505.81 × 2,006.28
  4. Step 4: Simplify right side
    3,264.57x = 9,039,916.49
  5. Step 5: Solve for x
    x = 9,039,916.49/3,264.57
  6. Step 6: Final answer
    x = 2,769.10

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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.