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Finding the Fourth Proportional to 1,787.45, 2,681.94 and 966.30

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Solution

The fourth proportional to 1,787.45, 2,681.94 and 966.30 is: 1,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.45 : 2,681.94 = 966.30 : x
  2. Step 2: Convert to fraction form
    1,787.45/2,681.94 = 966.30/x
  3. Step 3: Cross multiply
    1,787.45x = 2,681.94 × 966.30
  4. Step 4: Simplify right side
    1,787.45x = 2,591,558.62
  5. Step 5: Solve for x
    x = 2,591,558.62/1,787.45
  6. Step 6: Final answer
    x = 1,449.86

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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.