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Finding the Fourth Proportional to 2,072.64, 3,109.02 and 533.64

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Solution

The fourth proportional to 2,072.64, 3,109.02 and 533.64 is: 800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.64 : 3,109.02 = 533.64 : x
  2. Step 2: Convert to fraction form
    2,072.64/3,109.02 = 533.64/x
  3. Step 3: Cross multiply
    2,072.64x = 3,109.02 × 533.64
  4. Step 4: Simplify right side
    2,072.64x = 1,659,097.43
  5. Step 5: Solve for x
    x = 1,659,097.43/2,072.64
  6. Step 6: Final answer
    x = 800.48

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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.