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Finding the Fourth Proportional to 3,100.53, 4,650.78 and 792.03

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Solution

The fourth proportional to 3,100.53, 4,650.78 and 792.03 is: 1,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.53 : 4,650.78 = 792.03 : x
  2. Step 2: Convert to fraction form
    3,100.53/4,650.78 = 792.03/x
  3. Step 3: Cross multiply
    3,100.53x = 4,650.78 × 792.03
  4. Step 4: Simplify right side
    3,100.53x = 3,683,557.28
  5. Step 5: Solve for x
    x = 3,683,557.28/3,100.53
  6. Step 6: Final answer
    x = 1,188.04

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