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Finding the Fourth Proportional to 1,660.94, 2,292.09 and 914.88

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Solution

The fourth proportional to 1,660.94, 2,292.09 and 914.88 is: 1,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.94 : 2,292.09 = 914.88 : x
  2. Step 2: Convert to fraction form
    1,660.94/2,292.09 = 914.88/x
  3. Step 3: Cross multiply
    1,660.94x = 2,292.09 × 914.88
  4. Step 4: Simplify right side
    1,660.94x = 2,096,993.03
  5. Step 5: Solve for x
    x = 2,096,993.03/1,660.94
  6. Step 6: Final answer
    x = 1,262.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.