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Finding the Fourth Proportional to 3,122.89, 4,682.95 and 931.20

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Solution

The fourth proportional to 3,122.89, 4,682.95 and 931.20 is: 1,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.89 : 4,682.95 = 931.20 : x
  2. Step 2: Convert to fraction form
    3,122.89/4,682.95 = 931.20/x
  3. Step 3: Cross multiply
    3,122.89x = 4,682.95 × 931.20
  4. Step 4: Simplify right side
    3,122.89x = 4,360,743.15
  5. Step 5: Solve for x
    x = 4,360,743.15/3,122.89
  6. Step 6: Final answer
    x = 1,396.38

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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.