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Finding the Fourth Proportional to 3,159.70, 4,361.41 and 2,166.43

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Solution

The fourth proportional to 3,159.70, 4,361.41 and 2,166.43 is: 2,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.70 : 4,361.41 = 2,166.43 : x
  2. Step 2: Convert to fraction form
    3,159.70/4,361.41 = 2,166.43/x
  3. Step 3: Cross multiply
    3,159.70x = 4,361.41 × 2,166.43
  4. Step 4: Simplify right side
    3,159.70x = 9,448,689.47
  5. Step 5: Solve for x
    x = 9,448,689.47/3,159.70
  6. Step 6: Final answer
    x = 2,990.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.