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Finding the Fourth Proportional to 2,525.07, 3,787.33 and 881.65

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Solution

The fourth proportional to 2,525.07, 3,787.33 and 881.65 is: 1,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.07 : 3,787.33 = 881.65 : x
  2. Step 2: Convert to fraction form
    2,525.07/3,787.33 = 881.65/x
  3. Step 3: Cross multiply
    2,525.07x = 3,787.33 × 881.65
  4. Step 4: Simplify right side
    2,525.07x = 3,339,076.15
  5. Step 5: Solve for x
    x = 3,339,076.15/2,525.07
  6. Step 6: Final answer
    x = 1,322.37

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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.