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Finding the Fourth Proportional to 3,116.49, 4,679.46 and 1,889.34

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Solution

The fourth proportional to 3,116.49, 4,679.46 and 1,889.34 is: 2,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.49 : 4,679.46 = 1,889.34 : x
  2. Step 2: Convert to fraction form
    3,116.49/4,679.46 = 1,889.34/x
  3. Step 3: Cross multiply
    3,116.49x = 4,679.46 × 1,889.34
  4. Step 4: Simplify right side
    3,116.49x = 8,841,090.96
  5. Step 5: Solve for x
    x = 8,841,090.96/3,116.49
  6. Step 6: Final answer
    x = 2,836.87

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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.