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Finding the Fourth Proportional to 2,780.86, 4,169.70 and 1,463.21

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Solution

The fourth proportional to 2,780.86, 4,169.70 and 1,463.21 is: 2,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.86 : 4,169.70 = 1,463.21 : x
  2. Step 2: Convert to fraction form
    2,780.86/4,169.70 = 1,463.21/x
  3. Step 3: Cross multiply
    2,780.86x = 4,169.70 × 1,463.21
  4. Step 4: Simplify right side
    2,780.86x = 6,101,169.09
  5. Step 5: Solve for x
    x = 6,101,169.09/2,780.86
  6. Step 6: Final answer
    x = 2,193.99

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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.