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Finding the Fourth Proportional to 2,682.24, 4,023.54 and 833.11

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Solution

The fourth proportional to 2,682.24, 4,023.54 and 833.11 is: 1,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.24 : 4,023.54 = 833.11 : x
  2. Step 2: Convert to fraction form
    2,682.24/4,023.54 = 833.11/x
  3. Step 3: Cross multiply
    2,682.24x = 4,023.54 × 833.11
  4. Step 4: Simplify right side
    2,682.24x = 3,352,051.41
  5. Step 5: Solve for x
    x = 3,352,051.41/2,682.24
  6. Step 6: Final answer
    x = 1,249.72

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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.