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Finding the Fourth Proportional to 1,660.56, 2,491.89 and 967.53

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Solution

The fourth proportional to 1,660.56, 2,491.89 and 967.53 is: 1,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.56 : 2,491.89 = 967.53 : x
  2. Step 2: Convert to fraction form
    1,660.56/2,491.89 = 967.53/x
  3. Step 3: Cross multiply
    1,660.56x = 2,491.89 × 967.53
  4. Step 4: Simplify right side
    1,660.56x = 2,410,978.33
  5. Step 5: Solve for x
    x = 2,410,978.33/1,660.56
  6. Step 6: Final answer
    x = 1,451.91

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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.