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Finding the Fourth Proportional to 2,782.80, 4,174.20 and 2,005.20

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Solution

The fourth proportional to 2,782.80, 4,174.20 and 2,005.20 is: 3,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.80 : 4,174.20 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    2,782.80/4,174.20 = 2,005.20/x
  3. Step 3: Cross multiply
    2,782.80x = 4,174.20 × 2,005.20
  4. Step 4: Simplify right side
    2,782.80x = 8,370,105.84
  5. Step 5: Solve for x
    x = 8,370,105.84/2,782.80
  6. Step 6: Final answer
    x = 3,007.80

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1.5x scale

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.