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Finding the Fourth Proportional to 2,500.38, 3,750.39 and 856.26

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Solution

The fourth proportional to 2,500.38, 3,750.39 and 856.26 is: 1,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.38 : 3,750.39 = 856.26 : x
  2. Step 2: Convert to fraction form
    2,500.38/3,750.39 = 856.26/x
  3. Step 3: Cross multiply
    2,500.38x = 3,750.39 × 856.26
  4. Step 4: Simplify right side
    2,500.38x = 3,211,308.94
  5. Step 5: Solve for x
    x = 3,211,308.94/2,500.38
  6. Step 6: Final answer
    x = 1,284.33

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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.