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Finding the Fourth Proportional to 2,426.28, 3,639.44 and 782.80

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Solution

The fourth proportional to 2,426.28, 3,639.44 and 782.80 is: 1,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.28 : 3,639.44 = 782.80 : x
  2. Step 2: Convert to fraction form
    2,426.28/3,639.44 = 782.80/x
  3. Step 3: Cross multiply
    2,426.28x = 3,639.44 × 782.80
  4. Step 4: Simplify right side
    2,426.28x = 2,848,953.63
  5. Step 5: Solve for x
    x = 2,848,953.63/2,426.28
  6. Step 6: Final answer
    x = 1,174.21

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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.