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Finding the Fourth Proportional to 4,433.49, 6,650.22 and 1,146.60

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Solution

The fourth proportional to 4,433.49, 6,650.22 and 1,146.60 is: 1,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.49 : 6,650.22 = 1,146.60 : x
  2. Step 2: Convert to fraction form
    4,433.49/6,650.22 = 1,146.60/x
  3. Step 3: Cross multiply
    4,433.49x = 6,650.22 × 1,146.60
  4. Step 4: Simplify right side
    4,433.49x = 7,625,142.25
  5. Step 5: Solve for x
    x = 7,625,142.25/4,433.49
  6. Step 6: Final answer
    x = 1,719.90

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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.