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Finding the Fourth Proportional to 2,525.76, 3,782.74 and 2,438.17

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Solution

The fourth proportional to 2,525.76, 3,782.74 and 2,438.17 is: 3,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.76 : 3,782.74 = 2,438.17 : x
  2. Step 2: Convert to fraction form
    2,525.76/3,782.74 = 2,438.17/x
  3. Step 3: Cross multiply
    2,525.76x = 3,782.74 × 2,438.17
  4. Step 4: Simplify right side
    2,525.76x = 9,222,963.19
  5. Step 5: Solve for x
    x = 9,222,963.19/2,525.76
  6. Step 6: Final answer
    x = 3,651.56

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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.