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Finding the Fourth Proportional to 2,179.16, 3,268.69 and 535.70

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Solution

The fourth proportional to 2,179.16, 3,268.69 and 535.70 is: 803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.16 : 3,268.69 = 535.70 : x
  2. Step 2: Convert to fraction form
    2,179.16/3,268.69 = 535.70/x
  3. Step 3: Cross multiply
    2,179.16x = 3,268.69 × 535.70
  4. Step 4: Simplify right side
    2,179.16x = 1,751,037.23
  5. Step 5: Solve for x
    x = 1,751,037.23/2,179.16
  6. Step 6: Final answer
    x = 803.54

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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.