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Finding the Fourth Proportional to 3,330.69, 4,992.24 and 1,683.76

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Solution

The fourth proportional to 3,330.69, 4,992.24 and 1,683.76 is: 2,523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330.69 : 4,992.24 = 1,683.76 : x
  2. Step 2: Convert to fraction form
    3,330.69/4,992.24 = 1,683.76/x
  3. Step 3: Cross multiply
    3,330.69x = 4,992.24 × 1,683.76
  4. Step 4: Simplify right side
    3,330.69x = 8,405,715.23
  5. Step 5: Solve for x
    x = 8,405,715.23/3,330.69
  6. Step 6: Final answer
    x = 2,523.72

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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.