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Finding the Fourth Proportional to 3,104.28, 4,656.36 and 912.96

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Solution

The fourth proportional to 3,104.28, 4,656.36 and 912.96 is: 1,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.28 : 4,656.36 = 912.96 : x
  2. Step 2: Convert to fraction form
    3,104.28/4,656.36 = 912.96/x
  3. Step 3: Cross multiply
    3,104.28x = 4,656.36 × 912.96
  4. Step 4: Simplify right side
    3,104.28x = 4,251,070.43
  5. Step 5: Solve for x
    x = 4,251,070.43/3,104.28
  6. Step 6: Final answer
    x = 1,369.42

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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.