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Finding the Fourth Proportional to 3,129.32, 4,693.90 and 820.84

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Solution

The fourth proportional to 3,129.32, 4,693.90 and 820.84 is: 1,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.32 : 4,693.90 = 820.84 : x
  2. Step 2: Convert to fraction form
    3,129.32/4,693.90 = 820.84/x
  3. Step 3: Cross multiply
    3,129.32x = 4,693.90 × 820.84
  4. Step 4: Simplify right side
    3,129.32x = 3,852,940.88
  5. Step 5: Solve for x
    x = 3,852,940.88/3,129.32
  6. Step 6: Final answer
    x = 1,231.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.