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Finding the Fourth Proportional to 2,419.70, 3,630.05 and 1,380.20

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Solution

The fourth proportional to 2,419.70, 3,630.05 and 1,380.20 is: 2,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.70 : 3,630.05 = 1,380.20 : x
  2. Step 2: Convert to fraction form
    2,419.70/3,630.05 = 1,380.20/x
  3. Step 3: Cross multiply
    2,419.70x = 3,630.05 × 1,380.20
  4. Step 4: Simplify right side
    2,419.70x = 5,010,195.01
  5. Step 5: Solve for x
    x = 5,010,195.01/2,419.70
  6. Step 6: Final answer
    x = 2,070.59

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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.