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Finding the Fourth Proportional to 2,800.30, 4,200.27 and 852.52

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Solution

The fourth proportional to 2,800.30, 4,200.27 and 852.52 is: 1,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.30 : 4,200.27 = 852.52 : x
  2. Step 2: Convert to fraction form
    2,800.30/4,200.27 = 852.52/x
  3. Step 3: Cross multiply
    2,800.30x = 4,200.27 × 852.52
  4. Step 4: Simplify right side
    2,800.30x = 3,580,814.18
  5. Step 5: Solve for x
    x = 3,580,814.18/2,800.30
  6. Step 6: Final answer
    x = 1,278.73

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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.