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Finding the Fourth Proportional to 2,735.37, 4,102.65 and 787.32

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Solution

The fourth proportional to 2,735.37, 4,102.65 and 787.32 is: 1,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.37 : 4,102.65 = 787.32 : x
  2. Step 2: Convert to fraction form
    2,735.37/4,102.65 = 787.32/x
  3. Step 3: Cross multiply
    2,735.37x = 4,102.65 × 787.32
  4. Step 4: Simplify right side
    2,735.37x = 3,230,098.40
  5. Step 5: Solve for x
    x = 3,230,098.40/2,735.37
  6. Step 6: Final answer
    x = 1,180.86

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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.