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Finding the Fourth Proportional to 2,093.22, 3,139.80 and 533.22

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Solution

The fourth proportional to 2,093.22, 3,139.80 and 533.22 is: 799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.22 : 3,139.80 = 533.22 : x
  2. Step 2: Convert to fraction form
    2,093.22/3,139.80 = 533.22/x
  3. Step 3: Cross multiply
    2,093.22x = 3,139.80 × 533.22
  4. Step 4: Simplify right side
    2,093.22x = 1,674,204.16
  5. Step 5: Solve for x
    x = 1,674,204.16/2,093.22
  6. Step 6: Final answer
    x = 799.82

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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.