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Finding the Fourth Proportional to 2,819.06, 4,228.17 and 739.10

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Solution

The fourth proportional to 2,819.06, 4,228.17 and 739.10 is: 1,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.06 : 4,228.17 = 739.10 : x
  2. Step 2: Convert to fraction form
    2,819.06/4,228.17 = 739.10/x
  3. Step 3: Cross multiply
    2,819.06x = 4,228.17 × 739.10
  4. Step 4: Simplify right side
    2,819.06x = 3,125,040.45
  5. Step 5: Solve for x
    x = 3,125,040.45/2,819.06
  6. Step 6: Final answer
    x = 1,108.54

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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.