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Finding the Fourth Proportional to 1,872.20, 2,796.13 and 1,760.42

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Solution

The fourth proportional to 1,872.20, 2,796.13 and 1,760.42 is: 2,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.20 : 2,796.13 = 1,760.42 : x
  2. Step 2: Convert to fraction form
    1,872.20/2,796.13 = 1,760.42/x
  3. Step 3: Cross multiply
    1,872.20x = 2,796.13 × 1,760.42
  4. Step 4: Simplify right side
    1,872.20x = 4,922,349.19
  5. Step 5: Solve for x
    x = 4,922,349.19/1,872.20
  6. Step 6: Final answer
    x = 2,629.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.