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Finding the Fourth Proportional to 2,682.80, 4,024.24 and 1,649.42

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Solution

The fourth proportional to 2,682.80, 4,024.24 and 1,649.42 is: 2,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.80 : 4,024.24 = 1,649.42 : x
  2. Step 2: Convert to fraction form
    2,682.80/4,024.24 = 1,649.42/x
  3. Step 3: Cross multiply
    2,682.80x = 4,024.24 × 1,649.42
  4. Step 4: Simplify right side
    2,682.80x = 6,637,661.94
  5. Step 5: Solve for x
    x = 6,637,661.94/2,682.80
  6. Step 6: Final answer
    x = 2,474.15

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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.