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Finding the Fourth Proportional to 2,856.75, 3,942.86 and 1,614.75

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Solution

The fourth proportional to 2,856.75, 3,942.86 and 1,614.75 is: 2,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.75 : 3,942.86 = 1,614.75 : x
  2. Step 2: Convert to fraction form
    2,856.75/3,942.86 = 1,614.75/x
  3. Step 3: Cross multiply
    2,856.75x = 3,942.86 × 1,614.75
  4. Step 4: Simplify right side
    2,856.75x = 6,366,725.11
  5. Step 5: Solve for x
    x = 6,366,725.11/2,856.75
  6. Step 6: Final answer
    x = 2,228.66

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.