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Finding the Fourth Proportional to 2,063.90, 3,099.32 and 1,285.72

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Solution

The fourth proportional to 2,063.90, 3,099.32 and 1,285.72 is: 1,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.90 : 3,099.32 = 1,285.72 : x
  2. Step 2: Convert to fraction form
    2,063.90/3,099.32 = 1,285.72/x
  3. Step 3: Cross multiply
    2,063.90x = 3,099.32 × 1,285.72
  4. Step 4: Simplify right side
    2,063.90x = 3,984,857.71
  5. Step 5: Solve for x
    x = 3,984,857.71/2,063.90
  6. Step 6: Final answer
    x = 1,930.74

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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.