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Finding the Fourth Proportional to 2,451.12, 3,676.56 and 912

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Solution

The fourth proportional to 2,451.12, 3,676.56 and 912 is: 1,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.12 : 3,676.56 = 912 : x
  2. Step 2: Convert to fraction form
    2,451.12/3,676.56 = 912/x
  3. Step 3: Cross multiply
    2,451.12x = 3,676.56 × 912
  4. Step 4: Simplify right side
    2,451.12x = 3,353,022.72
  5. Step 5: Solve for x
    x = 3,353,022.72/2,451.12
  6. Step 6: Final answer
    x = 1,367.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.