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Finding the Fourth Proportional to 3,219.14, 4,828.61 and 1,027.82

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Solution

The fourth proportional to 3,219.14, 4,828.61 and 1,027.82 is: 1,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.14 : 4,828.61 = 1,027.82 : x
  2. Step 2: Convert to fraction form
    3,219.14/4,828.61 = 1,027.82/x
  3. Step 3: Cross multiply
    3,219.14x = 4,828.61 × 1,027.82
  4. Step 4: Simplify right side
    3,219.14x = 4,962,956.57
  5. Step 5: Solve for x
    x = 4,962,956.57/3,219.14
  6. Step 6: Final answer
    x = 1,541.70

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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.