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Finding the Fourth Proportional to 1,832.40, 2,727.90 and 1,821.60

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Solution

The fourth proportional to 1,832.40, 2,727.90 and 1,821.60 is: 2,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.40 : 2,727.90 = 1,821.60 : x
  2. Step 2: Convert to fraction form
    1,832.40/2,727.90 = 1,821.60/x
  3. Step 3: Cross multiply
    1,832.40x = 2,727.90 × 1,821.60
  4. Step 4: Simplify right side
    1,832.40x = 4,969,142.64
  5. Step 5: Solve for x
    x = 4,969,142.64/1,832.40
  6. Step 6: Final answer
    x = 2,711.82

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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.