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Finding the Fourth Proportional to 2,682.02, 4,023.95 and 833.40

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Solution

The fourth proportional to 2,682.02, 4,023.95 and 833.40 is: 1,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.02 : 4,023.95 = 833.40 : x
  2. Step 2: Convert to fraction form
    2,682.02/4,023.95 = 833.40/x
  3. Step 3: Cross multiply
    2,682.02x = 4,023.95 × 833.40
  4. Step 4: Simplify right side
    2,682.02x = 3,353,555.76
  5. Step 5: Solve for x
    x = 3,353,555.76/2,682.02
  6. Step 6: Final answer
    x = 1,250.38

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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.