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Finding the Fourth Proportional to 3,122.45, 4,684.29 and 931.13

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Solution

The fourth proportional to 3,122.45, 4,684.29 and 931.13 is: 1,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.45 : 4,684.29 = 931.13 : x
  2. Step 2: Convert to fraction form
    3,122.45/4,684.29 = 931.13/x
  3. Step 3: Cross multiply
    3,122.45x = 4,684.29 × 931.13
  4. Step 4: Simplify right side
    3,122.45x = 4,361,678.29
  5. Step 5: Solve for x
    x = 4,361,678.29/3,122.45
  6. Step 6: Final answer
    x = 1,396.88

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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.