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Finding the Fourth Proportional to 4,694.34, 7,041.22 and 1,231.58

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Solution

The fourth proportional to 4,694.34, 7,041.22 and 1,231.58 is: 1,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.34 : 7,041.22 = 1,231.58 : x
  2. Step 2: Convert to fraction form
    4,694.34/7,041.22 = 1,231.58/x
  3. Step 3: Cross multiply
    4,694.34x = 7,041.22 × 1,231.58
  4. Step 4: Simplify right side
    4,694.34x = 8,671,825.73
  5. Step 5: Solve for x
    x = 8,671,825.73/4,694.34
  6. Step 6: Final answer
    x = 1,847.29

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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.