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Finding the Fourth Proportional to 2,525.31, 3,787.70 and 881.89

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Solution

The fourth proportional to 2,525.31, 3,787.70 and 881.89 is: 1,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.31 : 3,787.70 = 881.89 : x
  2. Step 2: Convert to fraction form
    2,525.31/3,787.70 = 881.89/x
  3. Step 3: Cross multiply
    2,525.31x = 3,787.70 × 881.89
  4. Step 4: Simplify right side
    2,525.31x = 3,340,334.75
  5. Step 5: Solve for x
    x = 3,340,334.75/2,525.31
  6. Step 6: Final answer
    x = 1,322.74

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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.