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Finding the Fourth Proportional to 2,839.81, 4,259.72 and 787.81

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Solution

The fourth proportional to 2,839.81, 4,259.72 and 787.81 is: 1,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.81 : 4,259.72 = 787.81 : x
  2. Step 2: Convert to fraction form
    2,839.81/4,259.72 = 787.81/x
  3. Step 3: Cross multiply
    2,839.81x = 4,259.72 × 787.81
  4. Step 4: Simplify right side
    2,839.81x = 3,355,850.01
  5. Step 5: Solve for x
    x = 3,355,850.01/2,839.81
  6. Step 6: Final answer
    x = 1,181.72

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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.