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Finding the Fourth Proportional to 3,160.53, 4,361.72 and 1,834.34

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Solution

The fourth proportional to 3,160.53, 4,361.72 and 1,834.34 is: 2,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.53 : 4,361.72 = 1,834.34 : x
  2. Step 2: Convert to fraction form
    3,160.53/4,361.72 = 1,834.34/x
  3. Step 3: Cross multiply
    3,160.53x = 4,361.72 × 1,834.34
  4. Step 4: Simplify right side
    3,160.53x = 8,000,846.48
  5. Step 5: Solve for x
    x = 8,000,846.48/3,160.53
  6. Step 6: Final answer
    x = 2,531.49

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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.