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Finding the Fourth Proportional to 2,451.04, 3,676.80 and 807.64

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Solution

The fourth proportional to 2,451.04, 3,676.80 and 807.64 is: 1,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.04 : 3,676.80 = 807.64 : x
  2. Step 2: Convert to fraction form
    2,451.04/3,676.80 = 807.64/x
  3. Step 3: Cross multiply
    2,451.04x = 3,676.80 × 807.64
  4. Step 4: Simplify right side
    2,451.04x = 2,969,530.75
  5. Step 5: Solve for x
    x = 2,969,530.75/2,451.04
  6. Step 6: Final answer
    x = 1,211.54

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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.