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Finding the Fourth Proportional to 3,187.46, 4,780.92 and 1,455.96

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Solution

The fourth proportional to 3,187.46, 4,780.92 and 1,455.96 is: 2,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.46 : 4,780.92 = 1,455.96 : x
  2. Step 2: Convert to fraction form
    3,187.46/4,780.92 = 1,455.96/x
  3. Step 3: Cross multiply
    3,187.46x = 4,780.92 × 1,455.96
  4. Step 4: Simplify right side
    3,187.46x = 6,960,828.28
  5. Step 5: Solve for x
    x = 6,960,828.28/3,187.46
  6. Step 6: Final answer
    x = 2,183.82

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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.