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Finding the Fourth Proportional to 2,735.34, 4,102.41 and 787.02

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Solution

The fourth proportional to 2,735.34, 4,102.41 and 787.02 is: 1,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.34 : 4,102.41 = 787.02 : x
  2. Step 2: Convert to fraction form
    2,735.34/4,102.41 = 787.02/x
  3. Step 3: Cross multiply
    2,735.34x = 4,102.41 × 787.02
  4. Step 4: Simplify right side
    2,735.34x = 3,228,678.72
  5. Step 5: Solve for x
    x = 3,228,678.72/2,735.34
  6. Step 6: Final answer
    x = 1,180.36

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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.