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Finding the Fourth Proportional to 3,160, 4,361.82 and 1,834

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Solution

The fourth proportional to 3,160, 4,361.82 and 1,834 is: 2,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160 : 4,361.82 = 1,834 : x
  2. Step 2: Convert to fraction form
    3,160/4,361.82 = 1,834/x
  3. Step 3: Cross multiply
    3,160x = 4,361.82 × 1,834
  4. Step 4: Simplify right side
    3,160x = 7,999,577.88
  5. Step 5: Solve for x
    x = 7,999,577.88/3,160
  6. Step 6: Final answer
    x = 2,531.51

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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.