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Finding the Fourth Proportional to 2,796.42, 4,190.10 and 1,480.14

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Solution

The fourth proportional to 2,796.42, 4,190.10 and 1,480.14 is: 2,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.42 : 4,190.10 = 1,480.14 : x
  2. Step 2: Convert to fraction form
    2,796.42/4,190.10 = 1,480.14/x
  3. Step 3: Cross multiply
    2,796.42x = 4,190.10 × 1,480.14
  4. Step 4: Simplify right side
    2,796.42x = 6,201,934.61
  5. Step 5: Solve for x
    x = 6,201,934.61/2,796.42
  6. Step 6: Final answer
    x = 2,217.81

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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.