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Finding the Fourth Proportional to 3,100.56, 4,651.56 and 1,020.57

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Solution

The fourth proportional to 3,100.56, 4,651.56 and 1,020.57 is: 1,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.56 : 4,651.56 = 1,020.57 : x
  2. Step 2: Convert to fraction form
    3,100.56/4,651.56 = 1,020.57/x
  3. Step 3: Cross multiply
    3,100.56x = 4,651.56 × 1,020.57
  4. Step 4: Simplify right side
    3,100.56x = 4,747,242.59
  5. Step 5: Solve for x
    x = 4,747,242.59/3,100.56
  6. Step 6: Final answer
    x = 1,531.09

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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.