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Finding the Fourth Proportional to 1,727.27, 2,383.51 and 1,019.07

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Solution

The fourth proportional to 1,727.27, 2,383.51 and 1,019.07 is: 1,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.27 : 2,383.51 = 1,019.07 : x
  2. Step 2: Convert to fraction form
    1,727.27/2,383.51 = 1,019.07/x
  3. Step 3: Cross multiply
    1,727.27x = 2,383.51 × 1,019.07
  4. Step 4: Simplify right side
    1,727.27x = 2,428,965.30
  5. Step 5: Solve for x
    x = 2,428,965.30/1,727.27
  6. Step 6: Final answer
    x = 1,406.25

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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.