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Finding the Fourth Proportional to 2,641.55, 3,953.21 and 2,120.31

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Solution

The fourth proportional to 2,641.55, 3,953.21 and 2,120.31 is: 3,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.55 : 3,953.21 = 2,120.31 : x
  2. Step 2: Convert to fraction form
    2,641.55/3,953.21 = 2,120.31/x
  3. Step 3: Cross multiply
    2,641.55x = 3,953.21 × 2,120.31
  4. Step 4: Simplify right side
    2,641.55x = 8,382,020.09
  5. Step 5: Solve for x
    x = 8,382,020.09/2,641.55
  6. Step 6: Final answer
    x = 3,173.15

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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.