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Finding the Fourth Proportional to 3,100.40, 4,650.60 and 1,020.41

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Solution

The fourth proportional to 3,100.40, 4,650.60 and 1,020.41 is: 1,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.40 : 4,650.60 = 1,020.41 : x
  2. Step 2: Convert to fraction form
    3,100.40/4,650.60 = 1,020.41/x
  3. Step 3: Cross multiply
    3,100.40x = 4,650.60 × 1,020.41
  4. Step 4: Simplify right side
    3,100.40x = 4,745,518.75
  5. Step 5: Solve for x
    x = 4,745,518.75/3,100.40
  6. Step 6: Final answer
    x = 1,530.62

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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.