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Finding the Fourth Proportional to 2,735.46, 4,102.74 and 787.14

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Solution

The fourth proportional to 2,735.46, 4,102.74 and 787.14 is: 1,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.46 : 4,102.74 = 787.14 : x
  2. Step 2: Convert to fraction form
    2,735.46/4,102.74 = 787.14/x
  3. Step 3: Cross multiply
    2,735.46x = 4,102.74 × 787.14
  4. Step 4: Simplify right side
    2,735.46x = 3,229,430.76
  5. Step 5: Solve for x
    x = 3,229,430.76/2,735.46
  6. Step 6: Final answer
    x = 1,180.58

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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.