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Finding the Fourth Proportional to 2,096.86, 2,893.64 and 1,310.76

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Solution

The fourth proportional to 2,096.86, 2,893.64 and 1,310.76 is: 1,808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.86 : 2,893.64 = 1,310.76 : x
  2. Step 2: Convert to fraction form
    2,096.86/2,893.64 = 1,310.76/x
  3. Step 3: Cross multiply
    2,096.86x = 2,893.64 × 1,310.76
  4. Step 4: Simplify right side
    2,096.86x = 3,792,867.57
  5. Step 5: Solve for x
    x = 3,792,867.57/2,096.86
  6. Step 6: Final answer
    x = 1,808.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.