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Finding the Fourth Proportional to 2,499.21, 3,448.94 and 1,380.20

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Solution

The fourth proportional to 2,499.21, 3,448.94 and 1,380.20 is: 1,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.21 : 3,448.94 = 1,380.20 : x
  2. Step 2: Convert to fraction form
    2,499.21/3,448.94 = 1,380.20/x
  3. Step 3: Cross multiply
    2,499.21x = 3,448.94 × 1,380.20
  4. Step 4: Simplify right side
    2,499.21x = 4,760,202.84
  5. Step 5: Solve for x
    x = 4,760,202.84/2,499.21
  6. Step 6: Final answer
    x = 1,904.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.