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Finding the Fourth Proportional to 2,861.16, 4,287.42 and 1,833

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Solution

The fourth proportional to 2,861.16, 4,287.42 and 1,833 is: 2,746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.16 : 4,287.42 = 1,833 : x
  2. Step 2: Convert to fraction form
    2,861.16/4,287.42 = 1,833/x
  3. Step 3: Cross multiply
    2,861.16x = 4,287.42 × 1,833
  4. Step 4: Simplify right side
    2,861.16x = 7,858,840.86
  5. Step 5: Solve for x
    x = 7,858,840.86/2,861.16
  6. Step 6: Final answer
    x = 2,746.73

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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.