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Finding the Fourth Proportional to 4,433.67, 6,649.20 and 1,661.40

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Solution

The fourth proportional to 4,433.67, 6,649.20 and 1,661.40 is: 2,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.67 : 6,649.20 = 1,661.40 : x
  2. Step 2: Convert to fraction form
    4,433.67/6,649.20 = 1,661.40/x
  3. Step 3: Cross multiply
    4,433.67x = 6,649.20 × 1,661.40
  4. Step 4: Simplify right side
    4,433.67x = 11,046,980.88
  5. Step 5: Solve for x
    x = 11,046,980.88/4,433.67
  6. Step 6: Final answer
    x = 2,491.61

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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.