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Finding the Fourth Proportional to 3,193.43, 4,780.25 and 1,728.95

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Solution

The fourth proportional to 3,193.43, 4,780.25 and 1,728.95 is: 2,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.43 : 4,780.25 = 1,728.95 : x
  2. Step 2: Convert to fraction form
    3,193.43/4,780.25 = 1,728.95/x
  3. Step 3: Cross multiply
    3,193.43x = 4,780.25 × 1,728.95
  4. Step 4: Simplify right side
    3,193.43x = 8,264,804.59
  5. Step 5: Solve for x
    x = 8,264,804.59/3,193.43
  6. Step 6: Final answer
    x = 2,588.07

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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.