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Finding the Fourth Proportional to 1,782.80, 2,674.20 and 1,653.20

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Solution

The fourth proportional to 1,782.80, 2,674.20 and 1,653.20 is: 2,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.80 : 2,674.20 = 1,653.20 : x
  2. Step 2: Convert to fraction form
    1,782.80/2,674.20 = 1,653.20/x
  3. Step 3: Cross multiply
    1,782.80x = 2,674.20 × 1,653.20
  4. Step 4: Simplify right side
    1,782.80x = 4,420,987.44
  5. Step 5: Solve for x
    x = 4,420,987.44/1,782.80
  6. Step 6: Final answer
    x = 2,479.80

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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.