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Finding the Fourth Proportional to 2,856.25, 4,285.11 and 804.25

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Solution

The fourth proportional to 2,856.25, 4,285.11 and 804.25 is: 1,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.25 : 4,285.11 = 804.25 : x
  2. Step 2: Convert to fraction form
    2,856.25/4,285.11 = 804.25/x
  3. Step 3: Cross multiply
    2,856.25x = 4,285.11 × 804.25
  4. Step 4: Simplify right side
    2,856.25x = 3,446,299.72
  5. Step 5: Solve for x
    x = 3,446,299.72/2,856.25
  6. Step 6: Final answer
    x = 1,206.58

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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.