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Finding the Fourth Proportional to 3,264.87, 4,893.90 and 1,318.44

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Solution

The fourth proportional to 3,264.87, 4,893.90 and 1,318.44 is: 1,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.87 : 4,893.90 = 1,318.44 : x
  2. Step 2: Convert to fraction form
    3,264.87/4,893.90 = 1,318.44/x
  3. Step 3: Cross multiply
    3,264.87x = 4,893.90 × 1,318.44
  4. Step 4: Simplify right side
    3,264.87x = 6,452,313.52
  5. Step 5: Solve for x
    x = 6,452,313.52/3,264.87
  6. Step 6: Final answer
    x = 1,976.28

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Why These Related Problems?

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