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Finding the Fourth Proportional to 2,500.14, 3,750.42 and 856.29

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Solution

The fourth proportional to 2,500.14, 3,750.42 and 856.29 is: 1,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.14 : 3,750.42 = 856.29 : x
  2. Step 2: Convert to fraction form
    2,500.14/3,750.42 = 856.29/x
  3. Step 3: Cross multiply
    2,500.14x = 3,750.42 × 856.29
  4. Step 4: Simplify right side
    2,500.14x = 3,211,447.14
  5. Step 5: Solve for x
    x = 3,211,447.14/2,500.14
  6. Step 6: Final answer
    x = 1,284.51

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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.