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Finding the Fourth Proportional to 2,521.43, 3,780.09 and 1,976.05

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Solution

The fourth proportional to 2,521.43, 3,780.09 and 1,976.05 is: 2,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.43 : 3,780.09 = 1,976.05 : x
  2. Step 2: Convert to fraction form
    2,521.43/3,780.09 = 1,976.05/x
  3. Step 3: Cross multiply
    2,521.43x = 3,780.09 × 1,976.05
  4. Step 4: Simplify right side
    2,521.43x = 7,469,635.86
  5. Step 5: Solve for x
    x = 7,469,635.86/2,521.43
  6. Step 6: Final answer
    x = 2,962.46

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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.