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Finding the Fourth Proportional to 2,682.32, 4,023.47 and 833.15

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Solution

The fourth proportional to 2,682.32, 4,023.47 and 833.15 is: 1,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.32 : 4,023.47 = 833.15 : x
  2. Step 2: Convert to fraction form
    2,682.32/4,023.47 = 833.15/x
  3. Step 3: Cross multiply
    2,682.32x = 4,023.47 × 833.15
  4. Step 4: Simplify right side
    2,682.32x = 3,352,166.17
  5. Step 5: Solve for x
    x = 3,352,166.17/2,682.32
  6. Step 6: Final answer
    x = 1,249.73

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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.