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Finding the Fourth Proportional to 3,321.06, 4,984.67 and 1,678.76

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Solution

The fourth proportional to 3,321.06, 4,984.67 and 1,678.76 is: 2,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.06 : 4,984.67 = 1,678.76 : x
  2. Step 2: Convert to fraction form
    3,321.06/4,984.67 = 1,678.76/x
  3. Step 3: Cross multiply
    3,321.06x = 4,984.67 × 1,678.76
  4. Step 4: Simplify right side
    3,321.06x = 8,368,056.22
  5. Step 5: Solve for x
    x = 8,368,056.22/3,321.06
  6. Step 6: Final answer
    x = 2,519.69

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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.