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Finding the Fourth Proportional to 2,969.03, 4,420.99 and 2,863.92

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Solution

The fourth proportional to 2,969.03, 4,420.99 and 2,863.92 is: 4,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.03 : 4,420.99 = 2,863.92 : x
  2. Step 2: Convert to fraction form
    2,969.03/4,420.99 = 2,863.92/x
  3. Step 3: Cross multiply
    2,969.03x = 4,420.99 × 2,863.92
  4. Step 4: Simplify right side
    2,969.03x = 12,661,361.68
  5. Step 5: Solve for x
    x = 12,661,361.68/2,969.03
  6. Step 6: Final answer
    x = 4,264.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.