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Finding the Fourth Proportional to 2,296.76, 3,170.24 and 1,468.76

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Solution

The fourth proportional to 2,296.76, 3,170.24 and 1,468.76 is: 2,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.76 : 3,170.24 = 1,468.76 : x
  2. Step 2: Convert to fraction form
    2,296.76/3,170.24 = 1,468.76/x
  3. Step 3: Cross multiply
    2,296.76x = 3,170.24 × 1,468.76
  4. Step 4: Simplify right side
    2,296.76x = 4,656,321.70
  5. Step 5: Solve for x
    x = 4,656,321.70/2,296.76
  6. Step 6: Final answer
    x = 2,027.34

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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.