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Finding the Fourth Proportional to 2,093.17, 3,139.65 and 533.21

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Solution

The fourth proportional to 2,093.17, 3,139.65 and 533.21 is: 799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.17 : 3,139.65 = 533.21 : x
  2. Step 2: Convert to fraction form
    2,093.17/3,139.65 = 533.21/x
  3. Step 3: Cross multiply
    2,093.17x = 3,139.65 × 533.21
  4. Step 4: Simplify right side
    2,093.17x = 1,674,092.78
  5. Step 5: Solve for x
    x = 1,674,092.78/2,093.17
  6. Step 6: Final answer
    x = 799.79

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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.