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Finding the Fourth Proportional to 3,023.84, 4,534.92 and 832.04

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Solution

The fourth proportional to 3,023.84, 4,534.92 and 832.04 is: 1,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.84 : 4,534.92 = 832.04 : x
  2. Step 2: Convert to fraction form
    3,023.84/4,534.92 = 832.04/x
  3. Step 3: Cross multiply
    3,023.84x = 4,534.92 × 832.04
  4. Step 4: Simplify right side
    3,023.84x = 3,773,234.84
  5. Step 5: Solve for x
    x = 3,773,234.84/3,023.84
  6. Step 6: Final answer
    x = 1,247.83

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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.