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Finding the Fourth Proportional to 3,170.70, 4,754.88 and 1,090.14

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Solution

The fourth proportional to 3,170.70, 4,754.88 and 1,090.14 is: 1,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.70 : 4,754.88 = 1,090.14 : x
  2. Step 2: Convert to fraction form
    3,170.70/4,754.88 = 1,090.14/x
  3. Step 3: Cross multiply
    3,170.70x = 4,754.88 × 1,090.14
  4. Step 4: Simplify right side
    3,170.70x = 5,183,484.88
  5. Step 5: Solve for x
    x = 5,183,484.88/3,170.70
  6. Step 6: Final answer
    x = 1,634.81

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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.