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Finding the Fourth Proportional to 2,546.12, 3,819.74 and 1,007.08

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Solution

The fourth proportional to 2,546.12, 3,819.74 and 1,007.08 is: 1,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.12 : 3,819.74 = 1,007.08 : x
  2. Step 2: Convert to fraction form
    2,546.12/3,819.74 = 1,007.08/x
  3. Step 3: Cross multiply
    2,546.12x = 3,819.74 × 1,007.08
  4. Step 4: Simplify right side
    2,546.12x = 3,846,783.76
  5. Step 5: Solve for x
    x = 3,846,783.76/2,546.12
  6. Step 6: Final answer
    x = 1,510.84

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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.