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Finding the Fourth Proportional to 2,125.09, 3,166.09 and 2,020.53

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Solution

The fourth proportional to 2,125.09, 3,166.09 and 2,020.53 is: 3,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.09 : 3,166.09 = 2,020.53 : x
  2. Step 2: Convert to fraction form
    2,125.09/3,166.09 = 2,020.53/x
  3. Step 3: Cross multiply
    2,125.09x = 3,166.09 × 2,020.53
  4. Step 4: Simplify right side
    2,125.09x = 6,397,179.83
  5. Step 5: Solve for x
    x = 6,397,179.83/2,125.09
  6. Step 6: Final answer
    x = 3,010.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.