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Finding the Fourth Proportional to 2,525.65, 3,784.92 and 2,153.54

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Solution

The fourth proportional to 2,525.65, 3,784.92 and 2,153.54 is: 3,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.65 : 3,784.92 = 2,153.54 : x
  2. Step 2: Convert to fraction form
    2,525.65/3,784.92 = 2,153.54/x
  3. Step 3: Cross multiply
    2,525.65x = 3,784.92 × 2,153.54
  4. Step 4: Simplify right side
    2,525.65x = 8,150,976.62
  5. Step 5: Solve for x
    x = 8,150,976.62/2,525.65
  6. Step 6: Final answer
    x = 3,227.28

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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.