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Finding the Fourth Proportional to 1,782.27, 2,459.25 and 996.30

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Solution

The fourth proportional to 1,782.27, 2,459.25 and 996.30 is: 1,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.27 : 2,459.25 = 996.30 : x
  2. Step 2: Convert to fraction form
    1,782.27/2,459.25 = 996.30/x
  3. Step 3: Cross multiply
    1,782.27x = 2,459.25 × 996.30
  4. Step 4: Simplify right side
    1,782.27x = 2,450,150.78
  5. Step 5: Solve for x
    x = 2,450,150.78/1,782.27
  6. Step 6: Final answer
    x = 1,374.74

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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.