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Finding the Fourth Proportional to 2,735.28, 4,103.63 and 787.64

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Solution

The fourth proportional to 2,735.28, 4,103.63 and 787.64 is: 1,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.28 : 4,103.63 = 787.64 : x
  2. Step 2: Convert to fraction form
    2,735.28/4,103.63 = 787.64/x
  3. Step 3: Cross multiply
    2,735.28x = 4,103.63 × 787.64
  4. Step 4: Simplify right side
    2,735.28x = 3,232,158.68
  5. Step 5: Solve for x
    x = 3,232,158.68/2,735.28
  6. Step 6: Final answer
    x = 1,181.66

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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.