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Finding the Fourth Proportional to 4,311.54, 6,465.96 and 1,678.86

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Solution

The fourth proportional to 4,311.54, 6,465.96 and 1,678.86 is: 2,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.54 : 6,465.96 = 1,678.86 : x
  2. Step 2: Convert to fraction form
    4,311.54/6,465.96 = 1,678.86/x
  3. Step 3: Cross multiply
    4,311.54x = 6,465.96 × 1,678.86
  4. Step 4: Simplify right side
    4,311.54x = 10,855,441.61
  5. Step 5: Solve for x
    x = 10,855,441.61/4,311.54
  6. Step 6: Final answer
    x = 2,517.76

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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.