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Finding the Fourth Proportional to 4,310.80, 6,466.20 and 1,540.60

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Solution

The fourth proportional to 4,310.80, 6,466.20 and 1,540.60 is: 2,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.80 : 6,466.20 = 1,540.60 : x
  2. Step 2: Convert to fraction form
    4,310.80/6,466.20 = 1,540.60/x
  3. Step 3: Cross multiply
    4,310.80x = 6,466.20 × 1,540.60
  4. Step 4: Simplify right side
    4,310.80x = 9,961,827.72
  5. Step 5: Solve for x
    x = 9,961,827.72/4,310.80
  6. Step 6: Final answer
    x = 2,310.90

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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.