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Finding the Fourth Proportional to 3,172.43, 4,758.53 and 832.41

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Solution

The fourth proportional to 3,172.43, 4,758.53 and 832.41 is: 1,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.43 : 4,758.53 = 832.41 : x
  2. Step 2: Convert to fraction form
    3,172.43/4,758.53 = 832.41/x
  3. Step 3: Cross multiply
    3,172.43x = 4,758.53 × 832.41
  4. Step 4: Simplify right side
    3,172.43x = 3,961,052.72
  5. Step 5: Solve for x
    x = 3,961,052.72/3,172.43
  6. Step 6: Final answer
    x = 1,248.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.