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Finding the Fourth Proportional to 3,100.89, 4,651.80 and 1,020.18

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Solution

The fourth proportional to 3,100.89, 4,651.80 and 1,020.18 is: 1,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.89 : 4,651.80 = 1,020.18 : x
  2. Step 2: Convert to fraction form
    3,100.89/4,651.80 = 1,020.18/x
  3. Step 3: Cross multiply
    3,100.89x = 4,651.80 × 1,020.18
  4. Step 4: Simplify right side
    3,100.89x = 4,745,673.32
  5. Step 5: Solve for x
    x = 4,745,673.32/3,100.89
  6. Step 6: Final answer
    x = 1,530.42

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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.