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Finding the Fourth Proportional to 2,633.49, 3,950.20 and 784.62

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Solution

The fourth proportional to 2,633.49, 3,950.20 and 784.62 is: 1,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.49 : 3,950.20 = 784.62 : x
  2. Step 2: Convert to fraction form
    2,633.49/3,950.20 = 784.62/x
  3. Step 3: Cross multiply
    2,633.49x = 3,950.20 × 784.62
  4. Step 4: Simplify right side
    2,633.49x = 3,099,406.90
  5. Step 5: Solve for x
    x = 3,099,406.90/2,633.49
  6. Step 6: Final answer
    x = 1,176.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.