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Finding the Fourth Proportional to 1,910.70, 2,863.98 and 1,087.20

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Solution

The fourth proportional to 1,910.70, 2,863.98 and 1,087.20 is: 1,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.70 : 2,863.98 = 1,087.20 : x
  2. Step 2: Convert to fraction form
    1,910.70/2,863.98 = 1,087.20/x
  3. Step 3: Cross multiply
    1,910.70x = 2,863.98 × 1,087.20
  4. Step 4: Simplify right side
    1,910.70x = 3,113,719.06
  5. Step 5: Solve for x
    x = 3,113,719.06/1,910.70
  6. Step 6: Final answer
    x = 1,629.62

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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.