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Finding the Fourth Proportional to 3,106.30, 4,655.40 and 1,255.90

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Solution

The fourth proportional to 3,106.30, 4,655.40 and 1,255.90 is: 1,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.30 : 4,655.40 = 1,255.90 : x
  2. Step 2: Convert to fraction form
    3,106.30/4,655.40 = 1,255.90/x
  3. Step 3: Cross multiply
    3,106.30x = 4,655.40 × 1,255.90
  4. Step 4: Simplify right side
    3,106.30x = 5,846,716.86
  5. Step 5: Solve for x
    x = 5,846,716.86/3,106.30
  6. Step 6: Final answer
    x = 1,882.21

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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.