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Finding the Fourth Proportional to 2,525.34, 3,787.41 and 1,840.08

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Solution

The fourth proportional to 2,525.34, 3,787.41 and 1,840.08 is: 2,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.34 : 3,787.41 = 1,840.08 : x
  2. Step 2: Convert to fraction form
    2,525.34/3,787.41 = 1,840.08/x
  3. Step 3: Cross multiply
    2,525.34x = 3,787.41 × 1,840.08
  4. Step 4: Simplify right side
    2,525.34x = 6,969,137.39
  5. Step 5: Solve for x
    x = 6,969,137.39/2,525.34
  6. Step 6: Final answer
    x = 2,759.68

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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.