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Finding the Fourth Proportional to 3,122.29, 4,684.11 and 931.20

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Solution

The fourth proportional to 3,122.29, 4,684.11 and 931.20 is: 1,397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.29 : 4,684.11 = 931.20 : x
  2. Step 2: Convert to fraction form
    3,122.29/4,684.11 = 931.20/x
  3. Step 3: Cross multiply
    3,122.29x = 4,684.11 × 931.20
  4. Step 4: Simplify right side
    3,122.29x = 4,361,843.23
  5. Step 5: Solve for x
    x = 4,361,843.23/3,122.29
  6. Step 6: Final answer
    x = 1,397.00

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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.