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Finding the Fourth Proportional to 2,735.92, 4,103.32 and 787.76

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Solution

The fourth proportional to 2,735.92, 4,103.32 and 787.76 is: 1,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.92 : 4,103.32 = 787.76 : x
  2. Step 2: Convert to fraction form
    2,735.92/4,103.32 = 787.76/x
  3. Step 3: Cross multiply
    2,735.92x = 4,103.32 × 787.76
  4. Step 4: Simplify right side
    2,735.92x = 3,232,431.36
  5. Step 5: Solve for x
    x = 3,232,431.36/2,735.92
  6. Step 6: Final answer
    x = 1,181.48

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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.