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Finding the Fourth Proportional to 4,433.81, 6,652.73 and 1,660.69

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Solution

The fourth proportional to 4,433.81, 6,652.73 and 1,660.69 is: 2,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.81 : 6,652.73 = 1,660.69 : x
  2. Step 2: Convert to fraction form
    4,433.81/6,652.73 = 1,660.69/x
  3. Step 3: Cross multiply
    4,433.81x = 6,652.73 × 1,660.69
  4. Step 4: Simplify right side
    4,433.81x = 11,048,113.88
  5. Step 5: Solve for x
    x = 11,048,113.88/4,433.81
  6. Step 6: Final answer
    x = 2,491.79

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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.