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Finding the Fourth Proportional to 3,122.96, 4,684.42 and 1,274.04

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Solution

The fourth proportional to 3,122.96, 4,684.42 and 1,274.04 is: 1,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.96 : 4,684.42 = 1,274.04 : x
  2. Step 2: Convert to fraction form
    3,122.96/4,684.42 = 1,274.04/x
  3. Step 3: Cross multiply
    3,122.96x = 4,684.42 × 1,274.04
  4. Step 4: Simplify right side
    3,122.96x = 5,968,138.46
  5. Step 5: Solve for x
    x = 5,968,138.46/3,122.96
  6. Step 6: Final answer
    x = 1,911.05

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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.