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Finding the Fourth Proportional to 2,735.46, 4,103.37 and 787.68

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Solution

The fourth proportional to 2,735.46, 4,103.37 and 787.68 is: 1,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.46 : 4,103.37 = 787.68 : x
  2. Step 2: Convert to fraction form
    2,735.46/4,103.37 = 787.68/x
  3. Step 3: Cross multiply
    2,735.46x = 4,103.37 × 787.68
  4. Step 4: Simplify right side
    2,735.46x = 3,232,142.48
  5. Step 5: Solve for x
    x = 3,232,142.48/2,735.46
  6. Step 6: Final answer
    x = 1,181.57

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Why These Related Problems?

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