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Finding the Fourth Proportional to 3,160.86, 4,361.82 and 1,834.50

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Solution

The fourth proportional to 3,160.86, 4,361.82 and 1,834.50 is: 2,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.86 : 4,361.82 = 1,834.50 : x
  2. Step 2: Convert to fraction form
    3,160.86/4,361.82 = 1,834.50/x
  3. Step 3: Cross multiply
    3,160.86x = 4,361.82 × 1,834.50
  4. Step 4: Simplify right side
    3,160.86x = 8,001,758.79
  5. Step 5: Solve for x
    x = 8,001,758.79/3,160.86
  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.