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Finding the Fourth Proportional to 1,824.75, 2,727.12 and 1,332.19

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Solution

The fourth proportional to 1,824.75, 2,727.12 and 1,332.19 is: 1,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.75 : 2,727.12 = 1,332.19 : x
  2. Step 2: Convert to fraction form
    1,824.75/2,727.12 = 1,332.19/x
  3. Step 3: Cross multiply
    1,824.75x = 2,727.12 × 1,332.19
  4. Step 4: Simplify right side
    1,824.75x = 3,633,052.36
  5. Step 5: Solve for x
    x = 3,633,052.36/1,824.75
  6. Step 6: Final answer
    x = 1,990.99

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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.