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Finding the Fourth Proportional to 1,880.80, 2,821.20 and 1,805.20

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Solution

The fourth proportional to 1,880.80, 2,821.20 and 1,805.20 is: 2,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.80 : 2,821.20 = 1,805.20 : x
  2. Step 2: Convert to fraction form
    1,880.80/2,821.20 = 1,805.20/x
  3. Step 3: Cross multiply
    1,880.80x = 2,821.20 × 1,805.20
  4. Step 4: Simplify right side
    1,880.80x = 5,092,830.24
  5. Step 5: Solve for x
    x = 5,092,830.24/1,880.80
  6. Step 6: Final answer
    x = 2,707.80

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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.