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Finding the Fourth Proportional to 2,847.39, 4,267.73 and 1,285.57

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Solution

The fourth proportional to 2,847.39, 4,267.73 and 1,285.57 is: 1,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.39 : 4,267.73 = 1,285.57 : x
  2. Step 2: Convert to fraction form
    2,847.39/4,267.73 = 1,285.57/x
  3. Step 3: Cross multiply
    2,847.39x = 4,267.73 × 1,285.57
  4. Step 4: Simplify right side
    2,847.39x = 5,486,444.32
  5. Step 5: Solve for x
    x = 5,486,444.32/2,847.39
  6. Step 6: Final answer
    x = 1,926.83

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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.