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Finding the Fourth Proportional to 2,310.83, 3,193 and 2,015.58

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Solution

The fourth proportional to 2,310.83, 3,193 and 2,015.58 is: 2,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.83 : 3,193 = 2,015.58 : x
  2. Step 2: Convert to fraction form
    2,310.83/3,193 = 2,015.58/x
  3. Step 3: Cross multiply
    2,310.83x = 3,193 × 2,015.58
  4. Step 4: Simplify right side
    2,310.83x = 6,435,746.94
  5. Step 5: Solve for x
    x = 6,435,746.94/2,310.83
  6. Step 6: Final answer
    x = 2,785.04

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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.