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Finding the Fourth Proportional to 1,720.20, 2,385.57 and 1,639.20

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Solution

The fourth proportional to 1,720.20, 2,385.57 and 1,639.20 is: 2,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.20 : 2,385.57 = 1,639.20 : x
  2. Step 2: Convert to fraction form
    1,720.20/2,385.57 = 1,639.20/x
  3. Step 3: Cross multiply
    1,720.20x = 2,385.57 × 1,639.20
  4. Step 4: Simplify right side
    1,720.20x = 3,910,426.34
  5. Step 5: Solve for x
    x = 3,910,426.34/1,720.20
  6. Step 6: Final answer
    x = 2,273.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.