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Finding the Fourth Proportional to 2,104.70, 3,153.94 and 1,874.02

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Solution

The fourth proportional to 2,104.70, 3,153.94 and 1,874.02 is: 2,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.70 : 3,153.94 = 1,874.02 : x
  2. Step 2: Convert to fraction form
    2,104.70/3,153.94 = 1,874.02/x
  3. Step 3: Cross multiply
    2,104.70x = 3,153.94 × 1,874.02
  4. Step 4: Simplify right side
    2,104.70x = 5,910,546.64
  5. Step 5: Solve for x
    x = 5,910,546.64/2,104.70
  6. Step 6: Final answer
    x = 2,808.26

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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.